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<div class="title">/data/users/matthijs/github_faiss/faiss/VectorTransform.cpp</div>  </div>
</div><!--header-->
<div class="contents">
<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">/**</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment"> * Copyright (c) 2015-present, Facebook, Inc.</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment"> * All rights reserved.</span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment"> *</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment"> * This source code is licensed under the BSD+Patents license found in the</span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment"> * LICENSE file in the root directory of this source tree.</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment"> */</span></div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="comment">// Copyright 2004-present Facebook. All Rights Reserved</span></div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="comment">// -*- c++ -*-</span></div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &quot;VectorTransform.h&quot;</span></div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;cstdio&gt;</span></div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;cstring&gt;</span></div>
<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;</div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &quot;utils.h&quot;</span></div>
<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &quot;FaissAssert.h&quot;</span></div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &quot;IndexPQ.h&quot;</span></div>
<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="keyword">using namespace </span>faiss;</div>
<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="keyword">extern</span> <span class="stringliteral">&quot;C&quot;</span> {</div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="comment">// this is to keep the clang syntax checker happy</span></div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;<span class="preprocessor">#ifndef FINTEGER</span></div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#define FINTEGER int</span></div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;<span class="comment">/* declare BLAS functions, see http://www.netlib.org/clapack/cblas/ */</span></div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;</div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;<span class="keywordtype">int</span> sgemm_ (</div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;        <span class="keyword">const</span> <span class="keywordtype">char</span> *transa, <span class="keyword">const</span> <span class="keywordtype">char</span> *transb, FINTEGER *m, FINTEGER *</div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;        n, FINTEGER *k, <span class="keyword">const</span> <span class="keywordtype">float</span> *alpha, <span class="keyword">const</span> <span class="keywordtype">float</span> *a,</div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;        FINTEGER *lda, <span class="keyword">const</span> <span class="keywordtype">float</span> *b,</div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;        FINTEGER *ldb, <span class="keywordtype">float</span> *beta,</div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;        <span class="keywordtype">float</span> *c, FINTEGER *ldc);</div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;</div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;<span class="keywordtype">int</span> ssyrk_ (</div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;        <span class="keyword">const</span> <span class="keywordtype">char</span> *uplo, <span class="keyword">const</span> <span class="keywordtype">char</span> *trans, FINTEGER *n, FINTEGER *k,</div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;        <span class="keywordtype">float</span> *alpha, <span class="keywordtype">float</span> *a, FINTEGER *lda,</div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;        <span class="keywordtype">float</span> *beta, <span class="keywordtype">float</span> *c, FINTEGER *ldc);</div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;<span class="comment">/* Lapack functions from http://www.netlib.org/clapack/old/single/ */</span></div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;</div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;<span class="keywordtype">int</span> ssyev_ (</div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;        <span class="keyword">const</span> <span class="keywordtype">char</span> *jobz, <span class="keyword">const</span> <span class="keywordtype">char</span> *uplo, FINTEGER *n, <span class="keywordtype">float</span> *a,</div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;        FINTEGER *lda, <span class="keywordtype">float</span> *w, <span class="keywordtype">float</span> *work, FINTEGER *lwork,</div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;        FINTEGER *info);</div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;</div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;<span class="keywordtype">int</span> dsyev_ (</div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;        <span class="keyword">const</span> <span class="keywordtype">char</span> *jobz, <span class="keyword">const</span> <span class="keywordtype">char</span> *uplo, FINTEGER *n, <span class="keywordtype">double</span> *a,</div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;        FINTEGER *lda, <span class="keywordtype">double</span> *w, <span class="keywordtype">double</span> *work, FINTEGER *lwork,</div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;        FINTEGER *info);</div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;</div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;<span class="keywordtype">int</span> sgesvd_(</div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;        <span class="keyword">const</span> <span class="keywordtype">char</span> *jobu, <span class="keyword">const</span> <span class="keywordtype">char</span> *jobvt, FINTEGER *m, FINTEGER *n,</div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;        <span class="keywordtype">float</span> *a, FINTEGER *lda, <span class="keywordtype">float</span> *s, <span class="keywordtype">float</span> *u, FINTEGER *ldu, <span class="keywordtype">float</span> *vt,</div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;        FINTEGER *ldvt, <span class="keywordtype">float</span> *work, FINTEGER *lwork, FINTEGER *info);</div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;</div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;}</div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;<span class="comment">/*********************************************</span></div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;<span class="comment"> * VectorTransform</span></div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;<span class="comment"> *********************************************/</span></div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;</div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;</div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;</div>
<div class="line"><a name="l00072"></a><span class="lineno"><a class="line" href="structfaiss_1_1VectorTransform.html#af3b3a8bf95911f4b28128001c83f91a5">   72</a></span>&#160;<span class="keywordtype">float</span> * <a class="code" href="structfaiss_1_1VectorTransform.html#af3b3a8bf95911f4b28128001c83f91a5">VectorTransform::apply</a> (<a class="code" href="structfaiss_1_1Index.html#a040c6aed1f224f3ea7bf58eebc0c31a4">Index::idx_t</a> n, <span class="keyword">const</span> <span class="keywordtype">float</span> * x)<span class="keyword"> const</span></div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;    <span class="keywordtype">float</span> * xt = <span class="keyword">new</span> <span class="keywordtype">float</span>[n * <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>];</div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;    <a class="code" href="structfaiss_1_1VectorTransform.html#a90f1a218c224c049f1bd8b77a78d6aa0">apply_noalloc</a> (n, x, xt);</div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;    <span class="keywordflow">return</span> xt;</div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;}</div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;</div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;</div>
<div class="line"><a name="l00080"></a><span class="lineno"><a class="line" href="structfaiss_1_1VectorTransform.html#a7350d4dd28d60866d55ba4f75d2da84c">   80</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1VectorTransform.html#a7350d4dd28d60866d55ba4f75d2da84c">VectorTransform::train</a> (idx_t, <span class="keyword">const</span> <span class="keywordtype">float</span> *) {</div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;    <span class="comment">// does nothing by default</span></div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;}</div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;</div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;</div>
<div class="line"><a name="l00085"></a><span class="lineno"><a class="line" href="structfaiss_1_1VectorTransform.html#a101ce54f1c60df19478801aa942470d9">   85</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1VectorTransform.html#a101ce54f1c60df19478801aa942470d9">VectorTransform::reverse_transform</a> (</div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;             idx_t , <span class="keyword">const</span> <span class="keywordtype">float</span> *,</div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;             <span class="keywordtype">float</span> *)<span class="keyword"> const</span></div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;    FAISS_THROW_MSG (<span class="stringliteral">&quot;reverse transform not implemented&quot;</span>);</div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;}</div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;</div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;</div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;</div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;</div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;<span class="comment">/*********************************************</span></div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;<span class="comment"> * LinearTransform</span></div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;<span class="comment"> *********************************************/</span></div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;<span class="comment">/// both d_in &gt; d_out and d_out &lt; d_in are supported</span></div>
<div class="line"><a name="l00100"></a><span class="lineno"><a class="line" href="structfaiss_1_1LinearTransform.html#a2fffd6064defb7c3fdaf143c0c4a9bc7">  100</a></span>&#160;<span class="comment"></span><a class="code" href="structfaiss_1_1LinearTransform.html#a2fffd6064defb7c3fdaf143c0c4a9bc7">LinearTransform::LinearTransform</a> (<span class="keywordtype">int</span> d_in, <span class="keywordtype">int</span> d_out,</div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;                                  <span class="keywordtype">bool</span> have_bias):</div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;    <a class="code" href="structfaiss_1_1VectorTransform.html">VectorTransform</a> (d_in, d_out), have_bias (have_bias),</div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;    is_orthonormal (false), verbose (false)</div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;{}</div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;</div>
<div class="line"><a name="l00106"></a><span class="lineno"><a class="line" href="structfaiss_1_1LinearTransform.html#af9c20b4ae67691b5713489884ca9f80f">  106</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1LinearTransform.html#af9c20b4ae67691b5713489884ca9f80f">LinearTransform::apply_noalloc</a> (<a class="code" href="structfaiss_1_1Index.html#a040c6aed1f224f3ea7bf58eebc0c31a4">Index::idx_t</a> n, <span class="keyword">const</span> <span class="keywordtype">float</span> * x,</div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;                               <span class="keywordtype">float</span> * xt)<span class="keyword"> const</span></div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;    FAISS_THROW_IF_NOT_MSG(<a class="code" href="structfaiss_1_1VectorTransform.html#ab511f1ddf608c00204555881ca28cb02">is_trained</a>, <span class="stringliteral">&quot;Transformation not trained yet&quot;</span>);</div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;</div>
<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;    <span class="keywordtype">float</span> c_factor;</div>
<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;    <span class="keywordflow">if</span> (have_bias) {</div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;        FAISS_THROW_IF_NOT_MSG (<a class="code" href="structfaiss_1_1LinearTransform.html#ab0383f690aeb823876e9143febad1a87">b</a>.size() == <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>, <span class="stringliteral">&quot;Bias not initialized&quot;</span>);</div>
<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;        <span class="keywordtype">float</span> * xi = xt;</div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n; i++)</div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;            <span class="keywordflow">for</span>(<span class="keywordtype">int</span> j = 0; j &lt; <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>; j++)</div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;                *xi++ = <a class="code" href="structfaiss_1_1LinearTransform.html#ab0383f690aeb823876e9143febad1a87">b</a>[j];</div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;        c_factor = 1.0;</div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;    } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;        c_factor = 0.0;</div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;    }</div>
<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;</div>
<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;    FAISS_THROW_IF_NOT_MSG (<a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>.size() == <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a> * d_in,</div>
<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;                      <span class="stringliteral">&quot;Transformation matrix not initialized&quot;</span>);</div>
<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;</div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;    <span class="keywordtype">float</span> one = 1;</div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;    FINTEGER nbiti = <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>, ni = n, di = d_in;</div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;    sgemm_ (<span class="stringliteral">&quot;Transposed&quot;</span>, <span class="stringliteral">&quot;Not transposed&quot;</span>,</div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;            &amp;nbiti, &amp;ni, &amp;di,</div>
<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;            &amp;one, <a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>.data(), &amp;di, x, &amp;di, &amp;c_factor, xt, &amp;nbiti);</div>
<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;</div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;}</div>
<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;</div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;</div>
<div class="line"><a name="l00135"></a><span class="lineno"><a class="line" href="structfaiss_1_1LinearTransform.html#a1642efca4f5eb524c29722b0441c4d13">  135</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1LinearTransform.html#a1642efca4f5eb524c29722b0441c4d13">LinearTransform::transform_transpose</a> (idx_t n, <span class="keyword">const</span> <span class="keywordtype">float</span> * y,</div>
<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;                                           <span class="keywordtype">float</span> *x)<span class="keyword"> const</span></div>
<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;    <span class="keywordflow">if</span> (have_bias) { <span class="comment">// allocate buffer to store bias-corrected data</span></div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;        <span class="keywordtype">float</span> *y_new = <span class="keyword">new</span> <span class="keywordtype">float</span> [n * <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>];</div>
<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;        <span class="keyword">const</span> <span class="keywordtype">float</span> *yr = y;</div>
<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;        <span class="keywordtype">float</span> *yw = y_new;</div>
<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;        <span class="keywordflow">for</span> (idx_t i = 0; i &lt; n; i++) {</div>
<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>; j++) {</div>
<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;                *yw++ = *yr++ - <a class="code" href="structfaiss_1_1LinearTransform.html#ab0383f690aeb823876e9143febad1a87">b</a> [j];</div>
<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;            }</div>
<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;        }</div>
<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;        y = y_new;</div>
<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;    }</div>
<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;</div>
<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;    {</div>
<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;        FINTEGER dii = d_in, doi = <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>, ni = n;</div>
<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;        <span class="keywordtype">float</span> one = 1.0, zero = 0.0;</div>
<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;        sgemm_ (<span class="stringliteral">&quot;Not&quot;</span>, <span class="stringliteral">&quot;Not&quot;</span>, &amp;dii, &amp;ni, &amp;doi,</div>
<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;                &amp;one, <a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>.data (), &amp;dii, y, &amp;doi, &amp;zero, x, &amp;dii);</div>
<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;    }</div>
<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;</div>
<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;    <span class="keywordflow">if</span> (have_bias) <span class="keyword">delete</span> [] y;</div>
<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;}</div>
<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;</div>
<div class="line"><a name="l00160"></a><span class="lineno"><a class="line" href="structfaiss_1_1LinearTransform.html#aca77897ef5c27c69374b4d9555e5b332">  160</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1LinearTransform.html#aca77897ef5c27c69374b4d9555e5b332">LinearTransform::set_is_orthonormal</a> ()</div>
<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;{</div>
<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;    <span class="keywordflow">if</span> (<a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a> &gt; d_in) {</div>
<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;        <span class="comment">// not clear what we should do in this case</span></div>
<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;        <a class="code" href="structfaiss_1_1LinearTransform.html#a8a67a0178eab513cf87545f5d12d9569">is_orthonormal</a> = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;        <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;    }</div>
<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;    <span class="keywordflow">if</span> (<a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a> == 0) { <span class="comment">// borderline case, unnormalized matrix</span></div>
<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;        <a class="code" href="structfaiss_1_1LinearTransform.html#a8a67a0178eab513cf87545f5d12d9569">is_orthonormal</a> = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;        <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;    }</div>
<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;</div>
<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;    <span class="keywordtype">double</span> eps = 4e-5;</div>
<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;    FAISS_ASSERT(<a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>.size() &gt;= <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a> * d_in);</div>
<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;    {</div>
<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;        std::vector&lt;float&gt; ATA(<a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a> * <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>);</div>
<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;        FINTEGER dii = d_in, doi = <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>;</div>
<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;        <span class="keywordtype">float</span> one = 1.0, zero = 0.0;</div>
<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;</div>
<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;        sgemm_ (<span class="stringliteral">&quot;Transposed&quot;</span>, <span class="stringliteral">&quot;Not&quot;</span>, &amp;doi, &amp;doi, &amp;dii,</div>
<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;                &amp;one, <a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>.data (), &amp;dii,</div>
<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;                <a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>.data(), &amp;dii,</div>
<div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;                &amp;zero, ATA.data(), &amp;doi);</div>
<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;</div>
<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;        <a class="code" href="structfaiss_1_1LinearTransform.html#a8a67a0178eab513cf87545f5d12d9569">is_orthonormal</a> = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">long</span> i = 0; i &lt; <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>; i++) {</div>
<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">long</span> j = 0; j &lt; <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>; j++) {</div>
<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;                <span class="keywordtype">float</span> v = ATA[i + j * <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>];</div>
<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;                <span class="keywordflow">if</span> (i == j) v-= 1;</div>
<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;                <span class="keywordflow">if</span> (fabs(v) &gt; eps) {</div>
<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;                    is_orthonormal = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;                }</div>
<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;            }</div>
<div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;        }</div>
<div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;    }</div>
<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;</div>
<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;}</div>
<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;</div>
<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;</div>
<div class="line"><a name="l00199"></a><span class="lineno"><a class="line" href="structfaiss_1_1LinearTransform.html#a078caa663cf329de13851ebb026fb5d5">  199</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1LinearTransform.html#a078caa663cf329de13851ebb026fb5d5">LinearTransform::reverse_transform</a> (idx_t n, <span class="keyword">const</span> <span class="keywordtype">float</span> * xt,</div>
<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;                                         <span class="keywordtype">float</span> *x)<span class="keyword"> const</span></div>
<div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;    <span class="keywordflow">if</span> (<a class="code" href="structfaiss_1_1LinearTransform.html#a8a67a0178eab513cf87545f5d12d9569">is_orthonormal</a>) {</div>
<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;        <a class="code" href="structfaiss_1_1LinearTransform.html#a1642efca4f5eb524c29722b0441c4d13">transform_transpose</a> (n, xt, x);</div>
<div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;    } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;        FAISS_THROW_MSG (<span class="stringliteral">&quot;reverse transform not implemented for non-orthonormal matrices&quot;</span>);</div>
<div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160;    }</div>
<div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160;}</div>
<div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;</div>
<div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;</div>
<div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160;</div>
<div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;<span class="comment">/*********************************************</span></div>
<div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;<span class="comment"> * RandomRotationMatrix</span></div>
<div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;<span class="comment"> *********************************************/</span></div>
<div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;</div>
<div class="line"><a name="l00215"></a><span class="lineno"><a class="line" href="structfaiss_1_1RandomRotationMatrix.html#a857ad8c32fb76b3298d4eea4338ff66f">  215</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1RandomRotationMatrix.html#a857ad8c32fb76b3298d4eea4338ff66f">RandomRotationMatrix::init</a> (<span class="keywordtype">int</span> seed)</div>
<div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160;{</div>
<div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;</div>
<div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;    <span class="keywordflow">if</span>(<a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a> &lt;= d_in) {</div>
<div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;        <a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>.resize (<a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a> * d_in);</div>
<div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;        <span class="keywordtype">float</span> *q = <a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>.data();</div>
<div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;        float_randn(q, <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a> * d_in, seed);</div>
<div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160;        <a class="code" href="namespacefaiss.html#afb68fe89ad5e948974da1b70d7b4157c">matrix_qr</a>(d_in, <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>, q);</div>
<div class="line"><a name="l00223"></a><span class="lineno">  223</span>&#160;    } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;        <a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>.resize (<a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a> * <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>);</div>
<div class="line"><a name="l00225"></a><span class="lineno">  225</span>&#160;        <span class="keywordtype">float</span> *q = <a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>.data();</div>
<div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;        float_randn(q, d_out * d_out, seed);</div>
<div class="line"><a name="l00227"></a><span class="lineno">  227</span>&#160;        <a class="code" href="namespacefaiss.html#afb68fe89ad5e948974da1b70d7b4157c">matrix_qr</a>(d_out, d_out, q);</div>
<div class="line"><a name="l00228"></a><span class="lineno">  228</span>&#160;        <span class="comment">// remove columns</span></div>
<div class="line"><a name="l00229"></a><span class="lineno">  229</span>&#160;        <span class="keywordtype">int</span> i, j;</div>
<div class="line"><a name="l00230"></a><span class="lineno">  230</span>&#160;        <span class="keywordflow">for</span> (i = 0; i &lt; <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>; i++) {</div>
<div class="line"><a name="l00231"></a><span class="lineno">  231</span>&#160;            <span class="keywordflow">for</span>(j = 0; j &lt; d_in; j++) {</div>
<div class="line"><a name="l00232"></a><span class="lineno">  232</span>&#160;                q[i * d_in + j] = q[i * d_out + j];</div>
<div class="line"><a name="l00233"></a><span class="lineno">  233</span>&#160;            }</div>
<div class="line"><a name="l00234"></a><span class="lineno">  234</span>&#160;        }</div>
<div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160;        <a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>.resize(d_in * d_out);</div>
<div class="line"><a name="l00236"></a><span class="lineno">  236</span>&#160;    }</div>
<div class="line"><a name="l00237"></a><span class="lineno">  237</span>&#160;    <a class="code" href="structfaiss_1_1LinearTransform.html#a8a67a0178eab513cf87545f5d12d9569">is_orthonormal</a> = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160;}</div>
<div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160;</div>
<div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160;<span class="comment">/*********************************************</span></div>
<div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160;<span class="comment"> * PCAMatrix</span></div>
<div class="line"><a name="l00242"></a><span class="lineno">  242</span>&#160;<span class="comment"> *********************************************/</span></div>
<div class="line"><a name="l00243"></a><span class="lineno">  243</span>&#160;</div>
<div class="line"><a name="l00244"></a><span class="lineno">  244</span>&#160;PCAMatrix::PCAMatrix (<span class="keywordtype">int</span> d_in, <span class="keywordtype">int</span> d_out,</div>
<div class="line"><a name="l00245"></a><span class="lineno">  245</span>&#160;                      <span class="keywordtype">float</span> eigen_power, <span class="keywordtype">bool</span> random_rotation):</div>
<div class="line"><a name="l00246"></a><span class="lineno">  246</span>&#160;    <a class="code" href="structfaiss_1_1LinearTransform.html">LinearTransform</a>(d_in, d_out, true),</div>
<div class="line"><a name="l00247"></a><span class="lineno">  247</span>&#160;    eigen_power(eigen_power), random_rotation(random_rotation)</div>
<div class="line"><a name="l00248"></a><span class="lineno">  248</span>&#160;{</div>
<div class="line"><a name="l00249"></a><span class="lineno">  249</span>&#160;    <a class="code" href="structfaiss_1_1VectorTransform.html#ab511f1ddf608c00204555881ca28cb02">is_trained</a> = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00250"></a><span class="lineno">  250</span>&#160;    max_points_per_d = 1000;</div>
<div class="line"><a name="l00251"></a><span class="lineno">  251</span>&#160;    balanced_bins = 0;</div>
<div class="line"><a name="l00252"></a><span class="lineno">  252</span>&#160;}</div>
<div class="line"><a name="l00253"></a><span class="lineno">  253</span>&#160;</div>
<div class="line"><a name="l00254"></a><span class="lineno">  254</span>&#160;</div>
<div class="line"><a name="l00255"></a><span class="lineno">  255</span>&#160;<span class="keyword">namespace </span>{</div>
<div class="line"><a name="l00256"></a><span class="lineno">  256</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00257"></a><span class="lineno">  257</span>&#160;<span class="comment">/// Compute the eigenvalue decomposition of symmetric matrix cov,</span></div>
<div class="line"><a name="l00258"></a><span class="lineno">  258</span>&#160;<span class="comment">/// dimensions d_in-by-d_in. Output eigenvectors in cov.</span></div>
<div class="line"><a name="l00259"></a><span class="lineno">  259</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00260"></a><span class="lineno">  260</span>&#160;<span class="keywordtype">void</span> eig(<span class="keywordtype">size_t</span> d_in, <span class="keywordtype">double</span> *cov, <span class="keywordtype">double</span> *eigenvalues, <span class="keywordtype">int</span> verbose)</div>
<div class="line"><a name="l00261"></a><span class="lineno">  261</span>&#160;{</div>
<div class="line"><a name="l00262"></a><span class="lineno">  262</span>&#160;    { <span class="comment">// compute eigenvalues and vectors</span></div>
<div class="line"><a name="l00263"></a><span class="lineno">  263</span>&#160;        FINTEGER info = 0, lwork = -1, di = d_in;</div>
<div class="line"><a name="l00264"></a><span class="lineno">  264</span>&#160;        <span class="keywordtype">double</span> workq;</div>
<div class="line"><a name="l00265"></a><span class="lineno">  265</span>&#160;</div>
<div class="line"><a name="l00266"></a><span class="lineno">  266</span>&#160;        dsyev_ (<span class="stringliteral">&quot;Vectors as well&quot;</span>, <span class="stringliteral">&quot;Upper&quot;</span>,</div>
<div class="line"><a name="l00267"></a><span class="lineno">  267</span>&#160;                &amp;di, cov, &amp;di, eigenvalues, &amp;workq, &amp;lwork, &amp;info);</div>
<div class="line"><a name="l00268"></a><span class="lineno">  268</span>&#160;        lwork = FINTEGER(workq);</div>
<div class="line"><a name="l00269"></a><span class="lineno">  269</span>&#160;        <span class="keywordtype">double</span> *work = <span class="keyword">new</span> <span class="keywordtype">double</span>[lwork];</div>
<div class="line"><a name="l00270"></a><span class="lineno">  270</span>&#160;</div>
<div class="line"><a name="l00271"></a><span class="lineno">  271</span>&#160;        dsyev_ (<span class="stringliteral">&quot;Vectors as well&quot;</span>, <span class="stringliteral">&quot;Upper&quot;</span>,</div>
<div class="line"><a name="l00272"></a><span class="lineno">  272</span>&#160;                &amp;di, cov, &amp;di, eigenvalues, work, &amp;lwork, &amp;info);</div>
<div class="line"><a name="l00273"></a><span class="lineno">  273</span>&#160;</div>
<div class="line"><a name="l00274"></a><span class="lineno">  274</span>&#160;        <span class="keyword">delete</span> [] work;</div>
<div class="line"><a name="l00275"></a><span class="lineno">  275</span>&#160;</div>
<div class="line"><a name="l00276"></a><span class="lineno">  276</span>&#160;        <span class="keywordflow">if</span> (info != 0) {</div>
<div class="line"><a name="l00277"></a><span class="lineno">  277</span>&#160;            fprintf (stderr, <span class="stringliteral">&quot;WARN ssyev info returns %d, &quot;</span></div>
<div class="line"><a name="l00278"></a><span class="lineno">  278</span>&#160;                     <span class="stringliteral">&quot;a very bad PCA matrix is learnt\n&quot;</span>,</div>
<div class="line"><a name="l00279"></a><span class="lineno">  279</span>&#160;                     <span class="keywordtype">int</span>(info));</div>
<div class="line"><a name="l00280"></a><span class="lineno">  280</span>&#160;            <span class="comment">// do not throw exception, as the matrix could still be useful</span></div>
<div class="line"><a name="l00281"></a><span class="lineno">  281</span>&#160;        }</div>
<div class="line"><a name="l00282"></a><span class="lineno">  282</span>&#160;</div>
<div class="line"><a name="l00283"></a><span class="lineno">  283</span>&#160;</div>
<div class="line"><a name="l00284"></a><span class="lineno">  284</span>&#160;        <span class="keywordflow">if</span>(verbose &amp;&amp; d_in &lt;= 10) {</div>
<div class="line"><a name="l00285"></a><span class="lineno">  285</span>&#160;            printf(<span class="stringliteral">&quot;info=%ld new eigvals=[&quot;</span>, <span class="keywordtype">long</span>(info));</div>
<div class="line"><a name="l00286"></a><span class="lineno">  286</span>&#160;            <span class="keywordflow">for</span>(<span class="keywordtype">int</span> j = 0; j &lt; d_in; j++) printf(<span class="stringliteral">&quot;%g &quot;</span>, eigenvalues[j]);</div>
<div class="line"><a name="l00287"></a><span class="lineno">  287</span>&#160;            printf(<span class="stringliteral">&quot;]\n&quot;</span>);</div>
<div class="line"><a name="l00288"></a><span class="lineno">  288</span>&#160;</div>
<div class="line"><a name="l00289"></a><span class="lineno">  289</span>&#160;            <span class="keywordtype">double</span> *ci = cov;</div>
<div class="line"><a name="l00290"></a><span class="lineno">  290</span>&#160;            printf(<span class="stringliteral">&quot;eigenvecs=\n&quot;</span>);</div>
<div class="line"><a name="l00291"></a><span class="lineno">  291</span>&#160;            <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i = 0; i &lt; d_in; i++) {</div>
<div class="line"><a name="l00292"></a><span class="lineno">  292</span>&#160;                <span class="keywordflow">for</span>(<span class="keywordtype">int</span> j = 0; j &lt; d_in; j++)</div>
<div class="line"><a name="l00293"></a><span class="lineno">  293</span>&#160;                    printf(<span class="stringliteral">&quot;%10.4g &quot;</span>, *ci++);</div>
<div class="line"><a name="l00294"></a><span class="lineno">  294</span>&#160;                printf(<span class="stringliteral">&quot;\n&quot;</span>);</div>
<div class="line"><a name="l00295"></a><span class="lineno">  295</span>&#160;            }</div>
<div class="line"><a name="l00296"></a><span class="lineno">  296</span>&#160;        }</div>
<div class="line"><a name="l00297"></a><span class="lineno">  297</span>&#160;</div>
<div class="line"><a name="l00298"></a><span class="lineno">  298</span>&#160;    }</div>
<div class="line"><a name="l00299"></a><span class="lineno">  299</span>&#160;</div>
<div class="line"><a name="l00300"></a><span class="lineno">  300</span>&#160;    <span class="comment">// revert order of eigenvectors &amp; values</span></div>
<div class="line"><a name="l00301"></a><span class="lineno">  301</span>&#160;</div>
<div class="line"><a name="l00302"></a><span class="lineno">  302</span>&#160;    <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i = 0; i &lt; d_in / 2; i++) {</div>
<div class="line"><a name="l00303"></a><span class="lineno">  303</span>&#160;</div>
<div class="line"><a name="l00304"></a><span class="lineno">  304</span>&#160;        std::swap(eigenvalues[i], eigenvalues[d_in - 1 - i]);</div>
<div class="line"><a name="l00305"></a><span class="lineno">  305</span>&#160;        <span class="keywordtype">double</span> *v1 = cov + i * d_in;</div>
<div class="line"><a name="l00306"></a><span class="lineno">  306</span>&#160;        <span class="keywordtype">double</span> *v2 = cov + (d_in - 1 - i) * d_in;</div>
<div class="line"><a name="l00307"></a><span class="lineno">  307</span>&#160;        <span class="keywordflow">for</span>(<span class="keywordtype">int</span> j = 0; j &lt; d_in; j++)</div>
<div class="line"><a name="l00308"></a><span class="lineno">  308</span>&#160;            std::swap(v1[j], v2[j]);</div>
<div class="line"><a name="l00309"></a><span class="lineno">  309</span>&#160;    }</div>
<div class="line"><a name="l00310"></a><span class="lineno">  310</span>&#160;</div>
<div class="line"><a name="l00311"></a><span class="lineno">  311</span>&#160;}</div>
<div class="line"><a name="l00312"></a><span class="lineno">  312</span>&#160;</div>
<div class="line"><a name="l00313"></a><span class="lineno">  313</span>&#160;</div>
<div class="line"><a name="l00314"></a><span class="lineno">  314</span>&#160;}</div>
<div class="line"><a name="l00315"></a><span class="lineno">  315</span>&#160;</div>
<div class="line"><a name="l00316"></a><span class="lineno"><a class="line" href="structfaiss_1_1PCAMatrix.html#a8f2dd12da8dce3cbeb22da9c5d4ec3e7">  316</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1PCAMatrix.html#a8f2dd12da8dce3cbeb22da9c5d4ec3e7">PCAMatrix::train</a> (<a class="code" href="structfaiss_1_1Index.html#a040c6aed1f224f3ea7bf58eebc0c31a4">Index::idx_t</a> n, <span class="keyword">const</span> <span class="keywordtype">float</span> *x)</div>
<div class="line"><a name="l00317"></a><span class="lineno">  317</span>&#160;{</div>
<div class="line"><a name="l00318"></a><span class="lineno">  318</span>&#160;    <span class="keyword">const</span> <span class="keywordtype">float</span> * x_in = x;</div>
<div class="line"><a name="l00319"></a><span class="lineno">  319</span>&#160;</div>
<div class="line"><a name="l00320"></a><span class="lineno">  320</span>&#160;    x = <a class="code" href="namespacefaiss.html#a14884d253128c7af5891a65082ad7dc6">fvecs_maybe_subsample</a> (d_in, (<span class="keywordtype">size_t</span>*)&amp;n,</div>
<div class="line"><a name="l00321"></a><span class="lineno">  321</span>&#160;                               <a class="code" href="structfaiss_1_1PCAMatrix.html#abdce90f57a3c4401f5230f03da901e0d">max_points_per_d</a> * d_in, x, verbose);</div>
<div class="line"><a name="l00322"></a><span class="lineno">  322</span>&#160;</div>
<div class="line"><a name="l00323"></a><span class="lineno">  323</span>&#160;    <a class="code" href="structfaiss_1_1ScopeDeleter.html">ScopeDeleter&lt;float&gt;</a> del_x (x != x_in ? x : <span class="keyword">nullptr</span>);</div>
<div class="line"><a name="l00324"></a><span class="lineno">  324</span>&#160;</div>
<div class="line"><a name="l00325"></a><span class="lineno">  325</span>&#160;    <span class="comment">// compute mean</span></div>
<div class="line"><a name="l00326"></a><span class="lineno">  326</span>&#160;    <a class="code" href="structfaiss_1_1PCAMatrix.html#a721c338c1df5c99471db82e6d3dc8f93">mean</a>.clear(); <a class="code" href="structfaiss_1_1PCAMatrix.html#a721c338c1df5c99471db82e6d3dc8f93">mean</a>.resize(d_in, 0.0);</div>
<div class="line"><a name="l00327"></a><span class="lineno">  327</span>&#160;    <span class="keywordflow">if</span> (have_bias) { <span class="comment">// we may want to skip the bias</span></div>
<div class="line"><a name="l00328"></a><span class="lineno">  328</span>&#160;        <span class="keyword">const</span> <span class="keywordtype">float</span> *xi = x;</div>
<div class="line"><a name="l00329"></a><span class="lineno">  329</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n; i++) {</div>
<div class="line"><a name="l00330"></a><span class="lineno">  330</span>&#160;            <span class="keywordflow">for</span>(<span class="keywordtype">int</span> j = 0; j &lt; d_in; j++)</div>
<div class="line"><a name="l00331"></a><span class="lineno">  331</span>&#160;                <a class="code" href="structfaiss_1_1PCAMatrix.html#a721c338c1df5c99471db82e6d3dc8f93">mean</a>[j] += *xi++;</div>
<div class="line"><a name="l00332"></a><span class="lineno">  332</span>&#160;        }</div>
<div class="line"><a name="l00333"></a><span class="lineno">  333</span>&#160;        <span class="keywordflow">for</span>(<span class="keywordtype">int</span> j = 0; j &lt; d_in; j++)</div>
<div class="line"><a name="l00334"></a><span class="lineno">  334</span>&#160;            <a class="code" href="structfaiss_1_1PCAMatrix.html#a721c338c1df5c99471db82e6d3dc8f93">mean</a>[j] /= n;</div>
<div class="line"><a name="l00335"></a><span class="lineno">  335</span>&#160;    }</div>
<div class="line"><a name="l00336"></a><span class="lineno">  336</span>&#160;    <span class="keywordflow">if</span>(verbose) {</div>
<div class="line"><a name="l00337"></a><span class="lineno">  337</span>&#160;        printf(<span class="stringliteral">&quot;mean=[&quot;</span>);</div>
<div class="line"><a name="l00338"></a><span class="lineno">  338</span>&#160;        <span class="keywordflow">for</span>(<span class="keywordtype">int</span> j = 0; j &lt; d_in; j++) printf(<span class="stringliteral">&quot;%g &quot;</span>, <a class="code" href="structfaiss_1_1PCAMatrix.html#a721c338c1df5c99471db82e6d3dc8f93">mean</a>[j]);</div>
<div class="line"><a name="l00339"></a><span class="lineno">  339</span>&#160;        printf(<span class="stringliteral">&quot;]\n&quot;</span>);</div>
<div class="line"><a name="l00340"></a><span class="lineno">  340</span>&#160;    }</div>
<div class="line"><a name="l00341"></a><span class="lineno">  341</span>&#160;</div>
<div class="line"><a name="l00342"></a><span class="lineno">  342</span>&#160;    <span class="keywordflow">if</span>(n &gt;= d_in) {</div>
<div class="line"><a name="l00343"></a><span class="lineno">  343</span>&#160;        <span class="comment">// compute covariance matrix, store it in PCA matrix</span></div>
<div class="line"><a name="l00344"></a><span class="lineno">  344</span>&#160;        <a class="code" href="structfaiss_1_1PCAMatrix.html#aef5c130774e5d4f697a3e1c82647bfd3">PCAMat</a>.resize(d_in * d_in);</div>
<div class="line"><a name="l00345"></a><span class="lineno">  345</span>&#160;        <span class="keywordtype">float</span> * cov = <a class="code" href="structfaiss_1_1PCAMatrix.html#aef5c130774e5d4f697a3e1c82647bfd3">PCAMat</a>.data();</div>
<div class="line"><a name="l00346"></a><span class="lineno">  346</span>&#160;        { <span class="comment">// initialize with  mean * mean^T term</span></div>
<div class="line"><a name="l00347"></a><span class="lineno">  347</span>&#160;            <span class="keywordtype">float</span> *ci = cov;</div>
<div class="line"><a name="l00348"></a><span class="lineno">  348</span>&#160;            <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i = 0; i &lt; d_in; i++) {</div>
<div class="line"><a name="l00349"></a><span class="lineno">  349</span>&#160;                <span class="keywordflow">for</span>(<span class="keywordtype">int</span> j = 0; j &lt; d_in; j++)</div>
<div class="line"><a name="l00350"></a><span class="lineno">  350</span>&#160;                    *ci++ = - n * <a class="code" href="structfaiss_1_1PCAMatrix.html#a721c338c1df5c99471db82e6d3dc8f93">mean</a>[i] * <a class="code" href="structfaiss_1_1PCAMatrix.html#a721c338c1df5c99471db82e6d3dc8f93">mean</a>[j];</div>
<div class="line"><a name="l00351"></a><span class="lineno">  351</span>&#160;            }</div>
<div class="line"><a name="l00352"></a><span class="lineno">  352</span>&#160;        }</div>
<div class="line"><a name="l00353"></a><span class="lineno">  353</span>&#160;        {</div>
<div class="line"><a name="l00354"></a><span class="lineno">  354</span>&#160;            FINTEGER di = d_in, ni = n;</div>
<div class="line"><a name="l00355"></a><span class="lineno">  355</span>&#160;            <span class="keywordtype">float</span> one = 1.0;</div>
<div class="line"><a name="l00356"></a><span class="lineno">  356</span>&#160;            ssyrk_ (<span class="stringliteral">&quot;Up&quot;</span>, <span class="stringliteral">&quot;Non transposed&quot;</span>,</div>
<div class="line"><a name="l00357"></a><span class="lineno">  357</span>&#160;                    &amp;di, &amp;ni, &amp;one, (<span class="keywordtype">float</span>*)x, &amp;di, &amp;one, cov, &amp;di);</div>
<div class="line"><a name="l00358"></a><span class="lineno">  358</span>&#160;</div>
<div class="line"><a name="l00359"></a><span class="lineno">  359</span>&#160;        }</div>
<div class="line"><a name="l00360"></a><span class="lineno">  360</span>&#160;        <span class="keywordflow">if</span>(verbose &amp;&amp; d_in &lt;= 10) {</div>
<div class="line"><a name="l00361"></a><span class="lineno">  361</span>&#160;            <span class="keywordtype">float</span> *ci = cov;</div>
<div class="line"><a name="l00362"></a><span class="lineno">  362</span>&#160;            printf(<span class="stringliteral">&quot;cov=\n&quot;</span>);</div>
<div class="line"><a name="l00363"></a><span class="lineno">  363</span>&#160;            <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i = 0; i &lt; d_in; i++) {</div>
<div class="line"><a name="l00364"></a><span class="lineno">  364</span>&#160;                <span class="keywordflow">for</span>(<span class="keywordtype">int</span> j = 0; j &lt; d_in; j++)</div>
<div class="line"><a name="l00365"></a><span class="lineno">  365</span>&#160;                    printf(<span class="stringliteral">&quot;%10g &quot;</span>, *ci++);</div>
<div class="line"><a name="l00366"></a><span class="lineno">  366</span>&#160;                printf(<span class="stringliteral">&quot;\n&quot;</span>);</div>
<div class="line"><a name="l00367"></a><span class="lineno">  367</span>&#160;            }</div>
<div class="line"><a name="l00368"></a><span class="lineno">  368</span>&#160;        }</div>
<div class="line"><a name="l00369"></a><span class="lineno">  369</span>&#160;</div>
<div class="line"><a name="l00370"></a><span class="lineno">  370</span>&#160;        std::vector&lt;double&gt; covd (d_in * d_in);</div>
<div class="line"><a name="l00371"></a><span class="lineno">  371</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; d_in * d_in; i++) covd [i] = cov [i];</div>
<div class="line"><a name="l00372"></a><span class="lineno">  372</span>&#160;</div>
<div class="line"><a name="l00373"></a><span class="lineno">  373</span>&#160;        std::vector&lt;double&gt; eigenvaluesd (d_in);</div>
<div class="line"><a name="l00374"></a><span class="lineno">  374</span>&#160;</div>
<div class="line"><a name="l00375"></a><span class="lineno">  375</span>&#160;        eig (d_in, covd.data (), eigenvaluesd.data (), verbose);</div>
<div class="line"><a name="l00376"></a><span class="lineno">  376</span>&#160;</div>
<div class="line"><a name="l00377"></a><span class="lineno">  377</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; d_in * d_in; i++) <a class="code" href="structfaiss_1_1PCAMatrix.html#aef5c130774e5d4f697a3e1c82647bfd3">PCAMat</a> [i] = covd [i];</div>
<div class="line"><a name="l00378"></a><span class="lineno">  378</span>&#160;        eigenvalues.resize (d_in);</div>
<div class="line"><a name="l00379"></a><span class="lineno">  379</span>&#160;</div>
<div class="line"><a name="l00380"></a><span class="lineno">  380</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; d_in; i++)</div>
<div class="line"><a name="l00381"></a><span class="lineno">  381</span>&#160;            eigenvalues [i] = eigenvaluesd [i];</div>
<div class="line"><a name="l00382"></a><span class="lineno">  382</span>&#160;</div>
<div class="line"><a name="l00383"></a><span class="lineno">  383</span>&#160;</div>
<div class="line"><a name="l00384"></a><span class="lineno">  384</span>&#160;    } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00385"></a><span class="lineno">  385</span>&#160;</div>
<div class="line"><a name="l00386"></a><span class="lineno">  386</span>&#160;        std::vector&lt;float&gt; xc (n * d_in);</div>
<div class="line"><a name="l00387"></a><span class="lineno">  387</span>&#160;</div>
<div class="line"><a name="l00388"></a><span class="lineno">  388</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; n; i++)</div>
<div class="line"><a name="l00389"></a><span class="lineno">  389</span>&#160;            <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> j = 0; j &lt; d_in; j++)</div>
<div class="line"><a name="l00390"></a><span class="lineno">  390</span>&#160;                xc [i * d_in + j] = x [i * d_in + j] - <a class="code" href="structfaiss_1_1PCAMatrix.html#a721c338c1df5c99471db82e6d3dc8f93">mean</a>[j];</div>
<div class="line"><a name="l00391"></a><span class="lineno">  391</span>&#160;</div>
<div class="line"><a name="l00392"></a><span class="lineno">  392</span>&#160;        <span class="comment">// compute Gram matrix</span></div>
<div class="line"><a name="l00393"></a><span class="lineno">  393</span>&#160;        std::vector&lt;float&gt; gram (n * n);</div>
<div class="line"><a name="l00394"></a><span class="lineno">  394</span>&#160;        {</div>
<div class="line"><a name="l00395"></a><span class="lineno">  395</span>&#160;            FINTEGER di = d_in, ni = n;</div>
<div class="line"><a name="l00396"></a><span class="lineno">  396</span>&#160;            <span class="keywordtype">float</span> one = 1.0, zero = 0.0;</div>
<div class="line"><a name="l00397"></a><span class="lineno">  397</span>&#160;            ssyrk_ (<span class="stringliteral">&quot;Up&quot;</span>, <span class="stringliteral">&quot;Transposed&quot;</span>,</div>
<div class="line"><a name="l00398"></a><span class="lineno">  398</span>&#160;                    &amp;ni, &amp;di, &amp;one, xc.data(), &amp;di, &amp;zero, gram.data(), &amp;ni);</div>
<div class="line"><a name="l00399"></a><span class="lineno">  399</span>&#160;        }</div>
<div class="line"><a name="l00400"></a><span class="lineno">  400</span>&#160;</div>
<div class="line"><a name="l00401"></a><span class="lineno">  401</span>&#160;        <span class="keywordflow">if</span>(verbose &amp;&amp; d_in &lt;= 10) {</div>
<div class="line"><a name="l00402"></a><span class="lineno">  402</span>&#160;            <span class="keywordtype">float</span> *ci = gram.data();</div>
<div class="line"><a name="l00403"></a><span class="lineno">  403</span>&#160;            printf(<span class="stringliteral">&quot;gram=\n&quot;</span>);</div>
<div class="line"><a name="l00404"></a><span class="lineno">  404</span>&#160;            <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i = 0; i &lt; n; i++) {</div>
<div class="line"><a name="l00405"></a><span class="lineno">  405</span>&#160;                <span class="keywordflow">for</span>(<span class="keywordtype">int</span> j = 0; j &lt; n; j++)</div>
<div class="line"><a name="l00406"></a><span class="lineno">  406</span>&#160;                    printf(<span class="stringliteral">&quot;%10g &quot;</span>, *ci++);</div>
<div class="line"><a name="l00407"></a><span class="lineno">  407</span>&#160;                printf(<span class="stringliteral">&quot;\n&quot;</span>);</div>
<div class="line"><a name="l00408"></a><span class="lineno">  408</span>&#160;            }</div>
<div class="line"><a name="l00409"></a><span class="lineno">  409</span>&#160;        }</div>
<div class="line"><a name="l00410"></a><span class="lineno">  410</span>&#160;</div>
<div class="line"><a name="l00411"></a><span class="lineno">  411</span>&#160;        std::vector&lt;double&gt; gramd (n * n);</div>
<div class="line"><a name="l00412"></a><span class="lineno">  412</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; n * n; i++)</div>
<div class="line"><a name="l00413"></a><span class="lineno">  413</span>&#160;            gramd [i] = gram [i];</div>
<div class="line"><a name="l00414"></a><span class="lineno">  414</span>&#160;</div>
<div class="line"><a name="l00415"></a><span class="lineno">  415</span>&#160;        std::vector&lt;double&gt; eigenvaluesd (n);</div>
<div class="line"><a name="l00416"></a><span class="lineno">  416</span>&#160;</div>
<div class="line"><a name="l00417"></a><span class="lineno">  417</span>&#160;        <span class="comment">// eig will fill in only the n first eigenvals</span></div>
<div class="line"><a name="l00418"></a><span class="lineno">  418</span>&#160;</div>
<div class="line"><a name="l00419"></a><span class="lineno">  419</span>&#160;        eig (n, gramd.data (), eigenvaluesd.data (), verbose);</div>
<div class="line"><a name="l00420"></a><span class="lineno">  420</span>&#160;</div>
<div class="line"><a name="l00421"></a><span class="lineno">  421</span>&#160;        <a class="code" href="structfaiss_1_1PCAMatrix.html#aef5c130774e5d4f697a3e1c82647bfd3">PCAMat</a>.resize(d_in * n);</div>
<div class="line"><a name="l00422"></a><span class="lineno">  422</span>&#160;</div>
<div class="line"><a name="l00423"></a><span class="lineno">  423</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; n * n; i++)</div>
<div class="line"><a name="l00424"></a><span class="lineno">  424</span>&#160;            gram [i] = gramd [i];</div>
<div class="line"><a name="l00425"></a><span class="lineno">  425</span>&#160;</div>
<div class="line"><a name="l00426"></a><span class="lineno">  426</span>&#160;        eigenvalues.resize (d_in);</div>
<div class="line"><a name="l00427"></a><span class="lineno">  427</span>&#160;        <span class="comment">// fill in only the n first ones</span></div>
<div class="line"><a name="l00428"></a><span class="lineno">  428</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; n; i++)</div>
<div class="line"><a name="l00429"></a><span class="lineno">  429</span>&#160;            eigenvalues [i] = eigenvaluesd [i];</div>
<div class="line"><a name="l00430"></a><span class="lineno">  430</span>&#160;</div>
<div class="line"><a name="l00431"></a><span class="lineno">  431</span>&#160;        { <span class="comment">// compute PCAMat = x&#39; * v</span></div>
<div class="line"><a name="l00432"></a><span class="lineno">  432</span>&#160;            FINTEGER di = d_in, ni = n;</div>
<div class="line"><a name="l00433"></a><span class="lineno">  433</span>&#160;            <span class="keywordtype">float</span> one = 1.0;</div>
<div class="line"><a name="l00434"></a><span class="lineno">  434</span>&#160;</div>
<div class="line"><a name="l00435"></a><span class="lineno">  435</span>&#160;            sgemm_ (<span class="stringliteral">&quot;Non&quot;</span>, <span class="stringliteral">&quot;Non Trans&quot;</span>,</div>
<div class="line"><a name="l00436"></a><span class="lineno">  436</span>&#160;                    &amp;di, &amp;ni, &amp;ni,</div>
<div class="line"><a name="l00437"></a><span class="lineno">  437</span>&#160;                    &amp;one, xc.data(), &amp;di, gram.data(), &amp;ni,</div>
<div class="line"><a name="l00438"></a><span class="lineno">  438</span>&#160;                    &amp;one, <a class="code" href="structfaiss_1_1PCAMatrix.html#aef5c130774e5d4f697a3e1c82647bfd3">PCAMat</a>.data(), &amp;di);</div>
<div class="line"><a name="l00439"></a><span class="lineno">  439</span>&#160;        }</div>
<div class="line"><a name="l00440"></a><span class="lineno">  440</span>&#160;</div>
<div class="line"><a name="l00441"></a><span class="lineno">  441</span>&#160;        <span class="keywordflow">if</span>(verbose &amp;&amp; d_in &lt;= 10) {</div>
<div class="line"><a name="l00442"></a><span class="lineno">  442</span>&#160;            <span class="keywordtype">float</span> *ci = <a class="code" href="structfaiss_1_1PCAMatrix.html#aef5c130774e5d4f697a3e1c82647bfd3">PCAMat</a>.data();</div>
<div class="line"><a name="l00443"></a><span class="lineno">  443</span>&#160;            printf(<span class="stringliteral">&quot;PCAMat=\n&quot;</span>);</div>
<div class="line"><a name="l00444"></a><span class="lineno">  444</span>&#160;            <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i = 0; i &lt; n; i++) {</div>
<div class="line"><a name="l00445"></a><span class="lineno">  445</span>&#160;                <span class="keywordflow">for</span>(<span class="keywordtype">int</span> j = 0; j &lt; d_in; j++)</div>
<div class="line"><a name="l00446"></a><span class="lineno">  446</span>&#160;                    printf(<span class="stringliteral">&quot;%10g &quot;</span>, *ci++);</div>
<div class="line"><a name="l00447"></a><span class="lineno">  447</span>&#160;                printf(<span class="stringliteral">&quot;\n&quot;</span>);</div>
<div class="line"><a name="l00448"></a><span class="lineno">  448</span>&#160;            }</div>
<div class="line"><a name="l00449"></a><span class="lineno">  449</span>&#160;        }</div>
<div class="line"><a name="l00450"></a><span class="lineno">  450</span>&#160;        fvec_renorm_L2 (d_in, n, <a class="code" href="structfaiss_1_1PCAMatrix.html#aef5c130774e5d4f697a3e1c82647bfd3">PCAMat</a>.data());</div>
<div class="line"><a name="l00451"></a><span class="lineno">  451</span>&#160;</div>
<div class="line"><a name="l00452"></a><span class="lineno">  452</span>&#160;    }</div>
<div class="line"><a name="l00453"></a><span class="lineno">  453</span>&#160;</div>
<div class="line"><a name="l00454"></a><span class="lineno">  454</span>&#160;    <a class="code" href="structfaiss_1_1PCAMatrix.html#a117a70b8fca6d125725fe49fddebf97b">prepare_Ab</a>();</div>
<div class="line"><a name="l00455"></a><span class="lineno">  455</span>&#160;    <a class="code" href="structfaiss_1_1VectorTransform.html#ab511f1ddf608c00204555881ca28cb02">is_trained</a> = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00456"></a><span class="lineno">  456</span>&#160;}</div>
<div class="line"><a name="l00457"></a><span class="lineno">  457</span>&#160;</div>
<div class="line"><a name="l00458"></a><span class="lineno"><a class="line" href="structfaiss_1_1PCAMatrix.html#ae586dc89db6c57753c687473417742a6">  458</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1PCAMatrix.html#ae586dc89db6c57753c687473417742a6">PCAMatrix::copy_from</a> (<span class="keyword">const</span> <a class="code" href="structfaiss_1_1PCAMatrix.html">PCAMatrix</a> &amp; other)</div>
<div class="line"><a name="l00459"></a><span class="lineno">  459</span>&#160;{</div>
<div class="line"><a name="l00460"></a><span class="lineno">  460</span>&#160;    FAISS_THROW_IF_NOT (other.<a class="code" href="structfaiss_1_1VectorTransform.html#ab511f1ddf608c00204555881ca28cb02">is_trained</a>);</div>
<div class="line"><a name="l00461"></a><span class="lineno">  461</span>&#160;    <a class="code" href="structfaiss_1_1PCAMatrix.html#a721c338c1df5c99471db82e6d3dc8f93">mean</a> = other.<a class="code" href="structfaiss_1_1PCAMatrix.html#a721c338c1df5c99471db82e6d3dc8f93">mean</a>;</div>
<div class="line"><a name="l00462"></a><span class="lineno">  462</span>&#160;    eigenvalues = other.<a class="code" href="structfaiss_1_1PCAMatrix.html#ae80e130c0667b66cea608c4926d7d561">eigenvalues</a>;</div>
<div class="line"><a name="l00463"></a><span class="lineno">  463</span>&#160;    <a class="code" href="structfaiss_1_1PCAMatrix.html#aef5c130774e5d4f697a3e1c82647bfd3">PCAMat</a> = other.<a class="code" href="structfaiss_1_1PCAMatrix.html#aef5c130774e5d4f697a3e1c82647bfd3">PCAMat</a>;</div>
<div class="line"><a name="l00464"></a><span class="lineno">  464</span>&#160;    <a class="code" href="structfaiss_1_1PCAMatrix.html#a117a70b8fca6d125725fe49fddebf97b">prepare_Ab</a> ();</div>
<div class="line"><a name="l00465"></a><span class="lineno">  465</span>&#160;    <a class="code" href="structfaiss_1_1VectorTransform.html#ab511f1ddf608c00204555881ca28cb02">is_trained</a> = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00466"></a><span class="lineno">  466</span>&#160;}</div>
<div class="line"><a name="l00467"></a><span class="lineno">  467</span>&#160;</div>
<div class="line"><a name="l00468"></a><span class="lineno"><a class="line" href="structfaiss_1_1PCAMatrix.html#a117a70b8fca6d125725fe49fddebf97b">  468</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1PCAMatrix.html#a117a70b8fca6d125725fe49fddebf97b">PCAMatrix::prepare_Ab</a> ()</div>
<div class="line"><a name="l00469"></a><span class="lineno">  469</span>&#160;{</div>
<div class="line"><a name="l00470"></a><span class="lineno">  470</span>&#160;    FAISS_THROW_IF_NOT_FMT (</div>
<div class="line"><a name="l00471"></a><span class="lineno">  471</span>&#160;            <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a> * d_in &lt;= <a class="code" href="structfaiss_1_1PCAMatrix.html#aef5c130774e5d4f697a3e1c82647bfd3">PCAMat</a>.size(),</div>
<div class="line"><a name="l00472"></a><span class="lineno">  472</span>&#160;            <span class="stringliteral">&quot;PCA matrix cannot output %d dimensions from %d &quot;</span>,</div>
<div class="line"><a name="l00473"></a><span class="lineno">  473</span>&#160;            <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>, d_in);</div>
<div class="line"><a name="l00474"></a><span class="lineno">  474</span>&#160;</div>
<div class="line"><a name="l00475"></a><span class="lineno">  475</span>&#160;    <span class="keywordflow">if</span> (!<a class="code" href="structfaiss_1_1PCAMatrix.html#af111f055b7571703a3aa270d89e99321">random_rotation</a>) {</div>
<div class="line"><a name="l00476"></a><span class="lineno">  476</span>&#160;        <a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a> = <a class="code" href="structfaiss_1_1PCAMatrix.html#aef5c130774e5d4f697a3e1c82647bfd3">PCAMat</a>;</div>
<div class="line"><a name="l00477"></a><span class="lineno">  477</span>&#160;        <a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>.resize(<a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a> * d_in); <span class="comment">// strip off useless dimensions</span></div>
<div class="line"><a name="l00478"></a><span class="lineno">  478</span>&#160;</div>
<div class="line"><a name="l00479"></a><span class="lineno">  479</span>&#160;        <span class="comment">// first scale the components</span></div>
<div class="line"><a name="l00480"></a><span class="lineno">  480</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structfaiss_1_1PCAMatrix.html#a4e48e801f98ba2cf57c03b0913d6fafc">eigen_power</a> != 0) {</div>
<div class="line"><a name="l00481"></a><span class="lineno">  481</span>&#160;            <span class="keywordtype">float</span> *ai = <a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>.data();</div>
<div class="line"><a name="l00482"></a><span class="lineno">  482</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>; i++) {</div>
<div class="line"><a name="l00483"></a><span class="lineno">  483</span>&#160;                <span class="keywordtype">float</span> factor = pow(eigenvalues[i], <a class="code" href="structfaiss_1_1PCAMatrix.html#a4e48e801f98ba2cf57c03b0913d6fafc">eigen_power</a>);</div>
<div class="line"><a name="l00484"></a><span class="lineno">  484</span>&#160;                <span class="keywordflow">for</span>(<span class="keywordtype">int</span> j = 0; j &lt; d_in; j++)</div>
<div class="line"><a name="l00485"></a><span class="lineno">  485</span>&#160;                    *ai++ *= factor;</div>
<div class="line"><a name="l00486"></a><span class="lineno">  486</span>&#160;            }</div>
<div class="line"><a name="l00487"></a><span class="lineno">  487</span>&#160;        }</div>
<div class="line"><a name="l00488"></a><span class="lineno">  488</span>&#160;</div>
<div class="line"><a name="l00489"></a><span class="lineno">  489</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structfaiss_1_1PCAMatrix.html#ac9a4c97b5861081dfd8ca5881bb1a677">balanced_bins</a> != 0) {</div>
<div class="line"><a name="l00490"></a><span class="lineno">  490</span>&#160;            FAISS_THROW_IF_NOT (<a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a> % <a class="code" href="structfaiss_1_1PCAMatrix.html#ac9a4c97b5861081dfd8ca5881bb1a677">balanced_bins</a> == 0);</div>
<div class="line"><a name="l00491"></a><span class="lineno">  491</span>&#160;            <span class="keywordtype">int</span> dsub = <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a> / <a class="code" href="structfaiss_1_1PCAMatrix.html#ac9a4c97b5861081dfd8ca5881bb1a677">balanced_bins</a>;</div>
<div class="line"><a name="l00492"></a><span class="lineno">  492</span>&#160;            std::vector &lt;float&gt; Ain;</div>
<div class="line"><a name="l00493"></a><span class="lineno">  493</span>&#160;            std::swap(<a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>, Ain);</div>
<div class="line"><a name="l00494"></a><span class="lineno">  494</span>&#160;            <a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>.resize(<a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a> * d_in);</div>
<div class="line"><a name="l00495"></a><span class="lineno">  495</span>&#160;</div>
<div class="line"><a name="l00496"></a><span class="lineno">  496</span>&#160;            std::vector &lt;float&gt; accu(<a class="code" href="structfaiss_1_1PCAMatrix.html#ac9a4c97b5861081dfd8ca5881bb1a677">balanced_bins</a>);</div>
<div class="line"><a name="l00497"></a><span class="lineno">  497</span>&#160;            std::vector &lt;int&gt; counter(<a class="code" href="structfaiss_1_1PCAMatrix.html#ac9a4c97b5861081dfd8ca5881bb1a677">balanced_bins</a>);</div>
<div class="line"><a name="l00498"></a><span class="lineno">  498</span>&#160;</div>
<div class="line"><a name="l00499"></a><span class="lineno">  499</span>&#160;            <span class="comment">// greedy assignment</span></div>
<div class="line"><a name="l00500"></a><span class="lineno">  500</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>; i++) {</div>
<div class="line"><a name="l00501"></a><span class="lineno">  501</span>&#160;                <span class="comment">// find best bin</span></div>
<div class="line"><a name="l00502"></a><span class="lineno">  502</span>&#160;                <span class="keywordtype">int</span> best_j = -1;</div>
<div class="line"><a name="l00503"></a><span class="lineno">  503</span>&#160;                <span class="keywordtype">float</span> min_w = 1e30;</div>
<div class="line"><a name="l00504"></a><span class="lineno">  504</span>&#160;                <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; <a class="code" href="structfaiss_1_1PCAMatrix.html#ac9a4c97b5861081dfd8ca5881bb1a677">balanced_bins</a>; j++) {</div>
<div class="line"><a name="l00505"></a><span class="lineno">  505</span>&#160;                    <span class="keywordflow">if</span> (counter[j] &lt; dsub &amp;&amp; accu[j] &lt; min_w) {</div>
<div class="line"><a name="l00506"></a><span class="lineno">  506</span>&#160;                        min_w = accu[j];</div>
<div class="line"><a name="l00507"></a><span class="lineno">  507</span>&#160;                        best_j = j;</div>
<div class="line"><a name="l00508"></a><span class="lineno">  508</span>&#160;                    }</div>
<div class="line"><a name="l00509"></a><span class="lineno">  509</span>&#160;                }</div>
<div class="line"><a name="l00510"></a><span class="lineno">  510</span>&#160;                <span class="keywordtype">int</span> row_dst = best_j * dsub + counter[best_j];</div>
<div class="line"><a name="l00511"></a><span class="lineno">  511</span>&#160;                accu[best_j] += eigenvalues[i];</div>
<div class="line"><a name="l00512"></a><span class="lineno">  512</span>&#160;                counter[best_j] ++;</div>
<div class="line"><a name="l00513"></a><span class="lineno">  513</span>&#160;                memcpy (&amp;<a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>[row_dst * d_in], &amp;Ain[i * d_in],</div>
<div class="line"><a name="l00514"></a><span class="lineno">  514</span>&#160;                        d_in * <span class="keyword">sizeof</span> (<a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>[0]));</div>
<div class="line"><a name="l00515"></a><span class="lineno">  515</span>&#160;            }</div>
<div class="line"><a name="l00516"></a><span class="lineno">  516</span>&#160;</div>
<div class="line"><a name="l00517"></a><span class="lineno">  517</span>&#160;            <span class="keywordflow">if</span> (verbose) {</div>
<div class="line"><a name="l00518"></a><span class="lineno">  518</span>&#160;                printf(<span class="stringliteral">&quot;  bin accu=[&quot;</span>);</div>
<div class="line"><a name="l00519"></a><span class="lineno">  519</span>&#160;                <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; <a class="code" href="structfaiss_1_1PCAMatrix.html#ac9a4c97b5861081dfd8ca5881bb1a677">balanced_bins</a>; i++)</div>
<div class="line"><a name="l00520"></a><span class="lineno">  520</span>&#160;                    printf(<span class="stringliteral">&quot;%g &quot;</span>, accu[i]);</div>
<div class="line"><a name="l00521"></a><span class="lineno">  521</span>&#160;                printf(<span class="stringliteral">&quot;]\n&quot;</span>);</div>
<div class="line"><a name="l00522"></a><span class="lineno">  522</span>&#160;            }</div>
<div class="line"><a name="l00523"></a><span class="lineno">  523</span>&#160;        }</div>
<div class="line"><a name="l00524"></a><span class="lineno">  524</span>&#160;</div>
<div class="line"><a name="l00525"></a><span class="lineno">  525</span>&#160;</div>
<div class="line"><a name="l00526"></a><span class="lineno">  526</span>&#160;    } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00527"></a><span class="lineno">  527</span>&#160;        FAISS_THROW_IF_NOT_MSG (<a class="code" href="structfaiss_1_1PCAMatrix.html#ac9a4c97b5861081dfd8ca5881bb1a677">balanced_bins</a> == 0,</div>
<div class="line"><a name="l00528"></a><span class="lineno">  528</span>&#160;             <span class="stringliteral">&quot;both balancing bins and applying a random rotation &quot;</span></div>
<div class="line"><a name="l00529"></a><span class="lineno">  529</span>&#160;             <span class="stringliteral">&quot;does not make sense&quot;</span>);</div>
<div class="line"><a name="l00530"></a><span class="lineno">  530</span>&#160;        <a class="code" href="structfaiss_1_1RandomRotationMatrix.html">RandomRotationMatrix</a> rr(<a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>, <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>);</div>
<div class="line"><a name="l00531"></a><span class="lineno">  531</span>&#160;</div>
<div class="line"><a name="l00532"></a><span class="lineno">  532</span>&#160;        rr.<a class="code" href="structfaiss_1_1RandomRotationMatrix.html#a857ad8c32fb76b3298d4eea4338ff66f">init</a>(5);</div>
<div class="line"><a name="l00533"></a><span class="lineno">  533</span>&#160;</div>
<div class="line"><a name="l00534"></a><span class="lineno">  534</span>&#160;        <span class="comment">// apply scaling on the rotation matrix (right multiplication)</span></div>
<div class="line"><a name="l00535"></a><span class="lineno">  535</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structfaiss_1_1PCAMatrix.html#a4e48e801f98ba2cf57c03b0913d6fafc">eigen_power</a> != 0) {</div>
<div class="line"><a name="l00536"></a><span class="lineno">  536</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>; i++) {</div>
<div class="line"><a name="l00537"></a><span class="lineno">  537</span>&#160;                <span class="keywordtype">float</span> factor = pow(eigenvalues[i], <a class="code" href="structfaiss_1_1PCAMatrix.html#a4e48e801f98ba2cf57c03b0913d6fafc">eigen_power</a>);</div>
<div class="line"><a name="l00538"></a><span class="lineno">  538</span>&#160;                <span class="keywordflow">for</span>(<span class="keywordtype">int</span> j = 0; j &lt; <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>; j++)</div>
<div class="line"><a name="l00539"></a><span class="lineno">  539</span>&#160;                   rr.<a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>[j * d_out + i] *= factor;</div>
<div class="line"><a name="l00540"></a><span class="lineno">  540</span>&#160;            }</div>
<div class="line"><a name="l00541"></a><span class="lineno">  541</span>&#160;        }</div>
<div class="line"><a name="l00542"></a><span class="lineno">  542</span>&#160;</div>
<div class="line"><a name="l00543"></a><span class="lineno">  543</span>&#160;        <a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>.resize(d_in * <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>);</div>
<div class="line"><a name="l00544"></a><span class="lineno">  544</span>&#160;        {</div>
<div class="line"><a name="l00545"></a><span class="lineno">  545</span>&#160;            FINTEGER dii = d_in, doo = <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>;</div>
<div class="line"><a name="l00546"></a><span class="lineno">  546</span>&#160;            <span class="keywordtype">float</span> one = 1.0, zero = 0.0;</div>
<div class="line"><a name="l00547"></a><span class="lineno">  547</span>&#160;</div>
<div class="line"><a name="l00548"></a><span class="lineno">  548</span>&#160;            sgemm_ (<span class="stringliteral">&quot;Not&quot;</span>, <span class="stringliteral">&quot;Not&quot;</span>, &amp;dii, &amp;doo, &amp;doo,</div>
<div class="line"><a name="l00549"></a><span class="lineno">  549</span>&#160;                    &amp;one, <a class="code" href="structfaiss_1_1PCAMatrix.html#aef5c130774e5d4f697a3e1c82647bfd3">PCAMat</a>.data(), &amp;dii, rr.<a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>.data(), &amp;doo, &amp;zero,</div>
<div class="line"><a name="l00550"></a><span class="lineno">  550</span>&#160;                    <a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>.data(), &amp;dii);</div>
<div class="line"><a name="l00551"></a><span class="lineno">  551</span>&#160;</div>
<div class="line"><a name="l00552"></a><span class="lineno">  552</span>&#160;        }</div>
<div class="line"><a name="l00553"></a><span class="lineno">  553</span>&#160;</div>
<div class="line"><a name="l00554"></a><span class="lineno">  554</span>&#160;    }</div>
<div class="line"><a name="l00555"></a><span class="lineno">  555</span>&#160;</div>
<div class="line"><a name="l00556"></a><span class="lineno">  556</span>&#160;    <a class="code" href="structfaiss_1_1LinearTransform.html#ab0383f690aeb823876e9143febad1a87">b</a>.clear(); <a class="code" href="structfaiss_1_1LinearTransform.html#ab0383f690aeb823876e9143febad1a87">b</a>.resize(<a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>);</div>
<div class="line"><a name="l00557"></a><span class="lineno">  557</span>&#160;</div>
<div class="line"><a name="l00558"></a><span class="lineno">  558</span>&#160;    <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>; i++) {</div>
<div class="line"><a name="l00559"></a><span class="lineno">  559</span>&#160;        <span class="keywordtype">float</span> accu = 0;</div>
<div class="line"><a name="l00560"></a><span class="lineno">  560</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; d_in; j++)</div>
<div class="line"><a name="l00561"></a><span class="lineno">  561</span>&#160;            accu -= <a class="code" href="structfaiss_1_1PCAMatrix.html#a721c338c1df5c99471db82e6d3dc8f93">mean</a>[j] * <a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>[j + i * d_in];</div>
<div class="line"><a name="l00562"></a><span class="lineno">  562</span>&#160;        <a class="code" href="structfaiss_1_1LinearTransform.html#ab0383f690aeb823876e9143febad1a87">b</a>[i] = accu;</div>
<div class="line"><a name="l00563"></a><span class="lineno">  563</span>&#160;    }</div>
<div class="line"><a name="l00564"></a><span class="lineno">  564</span>&#160;</div>
<div class="line"><a name="l00565"></a><span class="lineno">  565</span>&#160;    <a class="code" href="structfaiss_1_1LinearTransform.html#a8a67a0178eab513cf87545f5d12d9569">is_orthonormal</a> = <a class="code" href="structfaiss_1_1PCAMatrix.html#a4e48e801f98ba2cf57c03b0913d6fafc">eigen_power</a> == 0;</div>
<div class="line"><a name="l00566"></a><span class="lineno">  566</span>&#160;</div>
<div class="line"><a name="l00567"></a><span class="lineno">  567</span>&#160;}</div>
<div class="line"><a name="l00568"></a><span class="lineno">  568</span>&#160;</div>
<div class="line"><a name="l00569"></a><span class="lineno">  569</span>&#160;<span class="comment">/*********************************************</span></div>
<div class="line"><a name="l00570"></a><span class="lineno">  570</span>&#160;<span class="comment"> * OPQMatrix</span></div>
<div class="line"><a name="l00571"></a><span class="lineno">  571</span>&#160;<span class="comment"> *********************************************/</span></div>
<div class="line"><a name="l00572"></a><span class="lineno">  572</span>&#160;</div>
<div class="line"><a name="l00573"></a><span class="lineno">  573</span>&#160;</div>
<div class="line"><a name="l00574"></a><span class="lineno"><a class="line" href="structfaiss_1_1OPQMatrix.html#a6eb9d18ff15b1c598d3aa3bc9ab84519">  574</a></span>&#160;<a class="code" href="structfaiss_1_1OPQMatrix.html#a6eb9d18ff15b1c598d3aa3bc9ab84519">OPQMatrix::OPQMatrix</a> (<span class="keywordtype">int</span> d, <span class="keywordtype">int</span> M, <span class="keywordtype">int</span> d2):</div>
<div class="line"><a name="l00575"></a><span class="lineno">  575</span>&#160;    <a class="code" href="structfaiss_1_1LinearTransform.html">LinearTransform</a> (d, d2 == -1 ? d : d2, false), M(M),</div>
<div class="line"><a name="l00576"></a><span class="lineno">  576</span>&#160;    niter (50),</div>
<div class="line"><a name="l00577"></a><span class="lineno">  577</span>&#160;    niter_pq (4), niter_pq_0 (40),</div>
<div class="line"><a name="l00578"></a><span class="lineno">  578</span>&#160;    verbose(false),</div>
<div class="line"><a name="l00579"></a><span class="lineno">  579</span>&#160;    pq(nullptr)</div>
<div class="line"><a name="l00580"></a><span class="lineno">  580</span>&#160;{</div>
<div class="line"><a name="l00581"></a><span class="lineno">  581</span>&#160;    <a class="code" href="structfaiss_1_1VectorTransform.html#ab511f1ddf608c00204555881ca28cb02">is_trained</a> = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00582"></a><span class="lineno">  582</span>&#160;    <span class="comment">// OPQ is quite expensive to train, so set this right.</span></div>
<div class="line"><a name="l00583"></a><span class="lineno">  583</span>&#160;    <a class="code" href="structfaiss_1_1OPQMatrix.html#afdd5b2c74d19ccc5c7a6e0199333321a">max_train_points</a> = 256 * 256;</div>
<div class="line"><a name="l00584"></a><span class="lineno">  584</span>&#160;    <a class="code" href="structfaiss_1_1OPQMatrix.html#a01d3736c8e725f596b99440324544a59">pq</a> = <span class="keyword">nullptr</span>;</div>
<div class="line"><a name="l00585"></a><span class="lineno">  585</span>&#160;}</div>
<div class="line"><a name="l00586"></a><span class="lineno">  586</span>&#160;</div>
<div class="line"><a name="l00587"></a><span class="lineno">  587</span>&#160;</div>
<div class="line"><a name="l00588"></a><span class="lineno">  588</span>&#160;</div>
<div class="line"><a name="l00589"></a><span class="lineno"><a class="line" href="structfaiss_1_1OPQMatrix.html#a1e314577db0c6cd4a709503f73eb71e2">  589</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1OPQMatrix.html#a1e314577db0c6cd4a709503f73eb71e2">OPQMatrix::train</a> (<a class="code" href="structfaiss_1_1Index.html#a040c6aed1f224f3ea7bf58eebc0c31a4">Index::idx_t</a> n, <span class="keyword">const</span> <span class="keywordtype">float</span> *x)</div>
<div class="line"><a name="l00590"></a><span class="lineno">  590</span>&#160;{</div>
<div class="line"><a name="l00591"></a><span class="lineno">  591</span>&#160;</div>
<div class="line"><a name="l00592"></a><span class="lineno">  592</span>&#160;    <span class="keyword">const</span> <span class="keywordtype">float</span> * x_in = x;</div>
<div class="line"><a name="l00593"></a><span class="lineno">  593</span>&#160;</div>
<div class="line"><a name="l00594"></a><span class="lineno">  594</span>&#160;    x = <a class="code" href="namespacefaiss.html#a14884d253128c7af5891a65082ad7dc6">fvecs_maybe_subsample</a> (d_in, (<span class="keywordtype">size_t</span>*)&amp;n,</div>
<div class="line"><a name="l00595"></a><span class="lineno">  595</span>&#160;                               <a class="code" href="structfaiss_1_1OPQMatrix.html#afdd5b2c74d19ccc5c7a6e0199333321a">max_train_points</a>, x, verbose);</div>
<div class="line"><a name="l00596"></a><span class="lineno">  596</span>&#160;</div>
<div class="line"><a name="l00597"></a><span class="lineno">  597</span>&#160;    <a class="code" href="structfaiss_1_1ScopeDeleter.html">ScopeDeleter&lt;float&gt;</a> del_x (x != x_in ? x : <span class="keyword">nullptr</span>);</div>
<div class="line"><a name="l00598"></a><span class="lineno">  598</span>&#160;</div>
<div class="line"><a name="l00599"></a><span class="lineno">  599</span>&#160;    <span class="comment">// To support d_out &gt; d_in, we pad input vectors with 0s to d_out</span></div>
<div class="line"><a name="l00600"></a><span class="lineno">  600</span>&#160;    <span class="keywordtype">size_t</span> d = <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a> &lt;= d_in ? d_in : <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>;</div>
<div class="line"><a name="l00601"></a><span class="lineno">  601</span>&#160;    <span class="keywordtype">size_t</span> d2 = <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>;</div>
<div class="line"><a name="l00602"></a><span class="lineno">  602</span>&#160;</div>
<div class="line"><a name="l00603"></a><span class="lineno">  603</span>&#160;<span class="preprocessor">#if 0</span></div>
<div class="line"><a name="l00604"></a><span class="lineno">  604</span>&#160;<span class="preprocessor"></span>    <span class="comment">// what this test shows: the only way of getting bit-exact</span></div>
<div class="line"><a name="l00605"></a><span class="lineno">  605</span>&#160;    <span class="comment">// reproducible results with sgeqrf and sgesvd seems to be forcing</span></div>
<div class="line"><a name="l00606"></a><span class="lineno">  606</span>&#160;    <span class="comment">// single-threading.</span></div>
<div class="line"><a name="l00607"></a><span class="lineno">  607</span>&#160;    { <span class="comment">// test repro</span></div>
<div class="line"><a name="l00608"></a><span class="lineno">  608</span>&#160;        std::vector&lt;float&gt; r (d * d);</div>
<div class="line"><a name="l00609"></a><span class="lineno">  609</span>&#160;        <span class="keywordtype">float</span> * rotation = r.data();</div>
<div class="line"><a name="l00610"></a><span class="lineno">  610</span>&#160;        float_randn (rotation, d * d, 1234);</div>
<div class="line"><a name="l00611"></a><span class="lineno">  611</span>&#160;        printf(<span class="stringliteral">&quot;CS0: %016lx\n&quot;</span>,</div>
<div class="line"><a name="l00612"></a><span class="lineno">  612</span>&#160;               <a class="code" href="namespacefaiss.html#a4369329c9dbdfe23e3f35d09ba7b5c6e">ivec_checksum</a> (128*128, (<span class="keywordtype">int</span>*)rotation));</div>
<div class="line"><a name="l00613"></a><span class="lineno">  613</span>&#160;        <a class="code" href="namespacefaiss.html#afb68fe89ad5e948974da1b70d7b4157c">matrix_qr</a> (d, d, rotation);</div>
<div class="line"><a name="l00614"></a><span class="lineno">  614</span>&#160;        printf(<span class="stringliteral">&quot;CS1: %016lx\n&quot;</span>,</div>
<div class="line"><a name="l00615"></a><span class="lineno">  615</span>&#160;               <a class="code" href="namespacefaiss.html#a4369329c9dbdfe23e3f35d09ba7b5c6e">ivec_checksum</a> (128*128, (<span class="keywordtype">int</span>*)rotation));</div>
<div class="line"><a name="l00616"></a><span class="lineno">  616</span>&#160;        <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00617"></a><span class="lineno">  617</span>&#160;    }</div>
<div class="line"><a name="l00618"></a><span class="lineno">  618</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00619"></a><span class="lineno">  619</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00620"></a><span class="lineno">  620</span>&#160;    <span class="keywordflow">if</span> (verbose) {</div>
<div class="line"><a name="l00621"></a><span class="lineno">  621</span>&#160;        printf (<span class="stringliteral">&quot;OPQMatrix::train: training an OPQ rotation matrix &quot;</span></div>
<div class="line"><a name="l00622"></a><span class="lineno">  622</span>&#160;                <span class="stringliteral">&quot;for M=%d from %ld vectors in %dD -&gt; %dD\n&quot;</span>,</div>
<div class="line"><a name="l00623"></a><span class="lineno">  623</span>&#160;                <a class="code" href="structfaiss_1_1OPQMatrix.html#a07ad0c0c84f96a6880c1c8eaf09596e3">M</a>, n, d_in, <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>);</div>
<div class="line"><a name="l00624"></a><span class="lineno">  624</span>&#160;    }</div>
<div class="line"><a name="l00625"></a><span class="lineno">  625</span>&#160;</div>
<div class="line"><a name="l00626"></a><span class="lineno">  626</span>&#160;    std::vector&lt;float&gt; xtrain (n * d);</div>
<div class="line"><a name="l00627"></a><span class="lineno">  627</span>&#160;    <span class="comment">// center x</span></div>
<div class="line"><a name="l00628"></a><span class="lineno">  628</span>&#160;    {</div>
<div class="line"><a name="l00629"></a><span class="lineno">  629</span>&#160;        std::vector&lt;float&gt; sum (d);</div>
<div class="line"><a name="l00630"></a><span class="lineno">  630</span>&#160;        <span class="keyword">const</span> <span class="keywordtype">float</span> *xi = x;</div>
<div class="line"><a name="l00631"></a><span class="lineno">  631</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; n; i++) {</div>
<div class="line"><a name="l00632"></a><span class="lineno">  632</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; d_in; j++)</div>
<div class="line"><a name="l00633"></a><span class="lineno">  633</span>&#160;                sum [j] += *xi++;</div>
<div class="line"><a name="l00634"></a><span class="lineno">  634</span>&#160;        }</div>
<div class="line"><a name="l00635"></a><span class="lineno">  635</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; d; i++) sum[i] /= n;</div>
<div class="line"><a name="l00636"></a><span class="lineno">  636</span>&#160;        <span class="keywordtype">float</span> *yi = xtrain.data();</div>
<div class="line"><a name="l00637"></a><span class="lineno">  637</span>&#160;        xi = x;</div>
<div class="line"><a name="l00638"></a><span class="lineno">  638</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; n; i++) {</div>
<div class="line"><a name="l00639"></a><span class="lineno">  639</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; d_in; j++)</div>
<div class="line"><a name="l00640"></a><span class="lineno">  640</span>&#160;                *yi++ = *xi++ - sum[j];</div>
<div class="line"><a name="l00641"></a><span class="lineno">  641</span>&#160;            yi += d - d_in;</div>
<div class="line"><a name="l00642"></a><span class="lineno">  642</span>&#160;        }</div>
<div class="line"><a name="l00643"></a><span class="lineno">  643</span>&#160;    }</div>
<div class="line"><a name="l00644"></a><span class="lineno">  644</span>&#160;    <span class="keywordtype">float</span> *rotation;</div>
<div class="line"><a name="l00645"></a><span class="lineno">  645</span>&#160;</div>
<div class="line"><a name="l00646"></a><span class="lineno">  646</span>&#160;    <span class="keywordflow">if</span> (<a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>.size () == 0) {</div>
<div class="line"><a name="l00647"></a><span class="lineno">  647</span>&#160;        <a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>.resize (d * d);</div>
<div class="line"><a name="l00648"></a><span class="lineno">  648</span>&#160;        rotation = <a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>.data();</div>
<div class="line"><a name="l00649"></a><span class="lineno">  649</span>&#160;        <span class="keywordflow">if</span> (verbose)</div>
<div class="line"><a name="l00650"></a><span class="lineno">  650</span>&#160;            printf(<span class="stringliteral">&quot;  OPQMatrix::train: making random %ld*%ld rotation\n&quot;</span>,</div>
<div class="line"><a name="l00651"></a><span class="lineno">  651</span>&#160;                   d, d);</div>
<div class="line"><a name="l00652"></a><span class="lineno">  652</span>&#160;        float_randn (rotation, d * d, 1234);</div>
<div class="line"><a name="l00653"></a><span class="lineno">  653</span>&#160;        <a class="code" href="namespacefaiss.html#afb68fe89ad5e948974da1b70d7b4157c">matrix_qr</a> (d, d, rotation);</div>
<div class="line"><a name="l00654"></a><span class="lineno">  654</span>&#160;        <span class="comment">// we use only the d * d2 upper part of the matrix</span></div>
<div class="line"><a name="l00655"></a><span class="lineno">  655</span>&#160;        <a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>.resize (d * d2);</div>
<div class="line"><a name="l00656"></a><span class="lineno">  656</span>&#160;    } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00657"></a><span class="lineno">  657</span>&#160;        FAISS_THROW_IF_NOT (<a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>.size() == d * d2);</div>
<div class="line"><a name="l00658"></a><span class="lineno">  658</span>&#160;        rotation = <a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>.data();</div>
<div class="line"><a name="l00659"></a><span class="lineno">  659</span>&#160;    }</div>
<div class="line"><a name="l00660"></a><span class="lineno">  660</span>&#160;</div>
<div class="line"><a name="l00661"></a><span class="lineno">  661</span>&#160;    std::vector&lt;float&gt;</div>
<div class="line"><a name="l00662"></a><span class="lineno">  662</span>&#160;        xproj (d2 * n), pq_recons (d2 * n), xxr (d * n),</div>
<div class="line"><a name="l00663"></a><span class="lineno">  663</span>&#160;        tmp(d * d * 4);</div>
<div class="line"><a name="l00664"></a><span class="lineno">  664</span>&#160;</div>
<div class="line"><a name="l00665"></a><span class="lineno">  665</span>&#160;    std::vector&lt;uint8_t&gt; codes (<a class="code" href="structfaiss_1_1OPQMatrix.html#a07ad0c0c84f96a6880c1c8eaf09596e3">M</a> * n);</div>
<div class="line"><a name="l00666"></a><span class="lineno">  666</span>&#160;</div>
<div class="line"><a name="l00667"></a><span class="lineno">  667</span>&#160;    <a class="code" href="structfaiss_1_1ProductQuantizer.html">ProductQuantizer</a> pq_default (d2, <a class="code" href="structfaiss_1_1OPQMatrix.html#a07ad0c0c84f96a6880c1c8eaf09596e3">M</a>, 8);</div>
<div class="line"><a name="l00668"></a><span class="lineno">  668</span>&#160;    <a class="code" href="structfaiss_1_1ProductQuantizer.html">ProductQuantizer</a> &amp;pq_regular =</div>
<div class="line"><a name="l00669"></a><span class="lineno">  669</span>&#160;        <a class="code" href="structfaiss_1_1OPQMatrix.html#a01d3736c8e725f596b99440324544a59">pq</a> ? *<a class="code" href="structfaiss_1_1OPQMatrix.html#a01d3736c8e725f596b99440324544a59">pq</a> : pq_default;</div>
<div class="line"><a name="l00670"></a><span class="lineno">  670</span>&#160;    <span class="keywordtype">double</span> t0 = <a class="code" href="namespacefaiss.html#af2a71f7d5402ae02ce169a4cc83020eb">getmillisecs</a>();</div>
<div class="line"><a name="l00671"></a><span class="lineno">  671</span>&#160;    <span class="keywordflow">for</span> (<span class="keywordtype">int</span> iter = 0; iter &lt; <a class="code" href="structfaiss_1_1OPQMatrix.html#a12cb3e05989dee37592b682070c31000">niter</a>; iter++) {</div>
<div class="line"><a name="l00672"></a><span class="lineno">  672</span>&#160;</div>
<div class="line"><a name="l00673"></a><span class="lineno">  673</span>&#160;        { <span class="comment">// torch.mm(xtrain, rotation:t())</span></div>
<div class="line"><a name="l00674"></a><span class="lineno">  674</span>&#160;            FINTEGER di = d, d2i = d2, ni = n;</div>
<div class="line"><a name="l00675"></a><span class="lineno">  675</span>&#160;            <span class="keywordtype">float</span> zero = 0, one = 1;</div>
<div class="line"><a name="l00676"></a><span class="lineno">  676</span>&#160;            sgemm_ (<span class="stringliteral">&quot;Transposed&quot;</span>, <span class="stringliteral">&quot;Not transposed&quot;</span>,</div>
<div class="line"><a name="l00677"></a><span class="lineno">  677</span>&#160;                    &amp;d2i, &amp;ni, &amp;di,</div>
<div class="line"><a name="l00678"></a><span class="lineno">  678</span>&#160;                    &amp;one, rotation, &amp;di,</div>
<div class="line"><a name="l00679"></a><span class="lineno">  679</span>&#160;                    xtrain.data(), &amp;di,</div>
<div class="line"><a name="l00680"></a><span class="lineno">  680</span>&#160;                    &amp;zero, xproj.data(), &amp;d2i);</div>
<div class="line"><a name="l00681"></a><span class="lineno">  681</span>&#160;        }</div>
<div class="line"><a name="l00682"></a><span class="lineno">  682</span>&#160;</div>
<div class="line"><a name="l00683"></a><span class="lineno">  683</span>&#160;        pq_regular.<a class="code" href="structfaiss_1_1ProductQuantizer.html#af265acf5aa1bcda60898002287e6a3d6">cp</a>.<a class="code" href="structfaiss_1_1ClusteringParameters.html#a993e0a035248faad6e292a5ef9af1953">max_points_per_centroid</a> = 1000;</div>
<div class="line"><a name="l00684"></a><span class="lineno">  684</span>&#160;        pq_regular.<a class="code" href="structfaiss_1_1ProductQuantizer.html#af265acf5aa1bcda60898002287e6a3d6">cp</a>.<a class="code" href="structfaiss_1_1ClusteringParameters.html#a5c7c6f05c75e1668befdb3be148fd5f9">niter</a> = iter == 0 ? <a class="code" href="structfaiss_1_1OPQMatrix.html#a6406e97b05c831cc19b9343be3b43a1f">niter_pq_0</a> : <a class="code" href="structfaiss_1_1OPQMatrix.html#ab88c87a3931ec356904abf5f1f797a83">niter_pq</a>;</div>
<div class="line"><a name="l00685"></a><span class="lineno">  685</span>&#160;        pq_regular.<a class="code" href="structfaiss_1_1ProductQuantizer.html#af265acf5aa1bcda60898002287e6a3d6">cp</a>.verbose = verbose;</div>
<div class="line"><a name="l00686"></a><span class="lineno">  686</span>&#160;        pq_regular.train (n, xproj.data());</div>
<div class="line"><a name="l00687"></a><span class="lineno">  687</span>&#160;</div>
<div class="line"><a name="l00688"></a><span class="lineno">  688</span>&#160;        pq_regular.<a class="code" href="structfaiss_1_1ProductQuantizer.html#ae5a340ee5a4b1d35a565b167de2a2ef1">compute_codes</a> (xproj.data(), codes.data(), n);</div>
<div class="line"><a name="l00689"></a><span class="lineno">  689</span>&#160;        pq_regular.<a class="code" href="structfaiss_1_1ProductQuantizer.html#a7afbf9d96276f021981e99f064254208">decode</a> (codes.data(), pq_recons.data(), n);</div>
<div class="line"><a name="l00690"></a><span class="lineno">  690</span>&#160;</div>
<div class="line"><a name="l00691"></a><span class="lineno">  691</span>&#160;        <span class="keywordtype">float</span> pq_err = <a class="code" href="namespacefaiss.html#a7466bd32de31640860393a701eaac5ad">fvec_L2sqr</a> (pq_recons.data(), xproj.data(), n * d2) / n;</div>
<div class="line"><a name="l00692"></a><span class="lineno">  692</span>&#160;</div>
<div class="line"><a name="l00693"></a><span class="lineno">  693</span>&#160;        <span class="keywordflow">if</span> (verbose)</div>
<div class="line"><a name="l00694"></a><span class="lineno">  694</span>&#160;            printf (<span class="stringliteral">&quot;    Iteration %d (%d PQ iterations):&quot;</span></div>
<div class="line"><a name="l00695"></a><span class="lineno">  695</span>&#160;                    <span class="stringliteral">&quot;%.3f s, obj=%g\n&quot;</span>, iter, pq_regular.<a class="code" href="structfaiss_1_1ProductQuantizer.html#af265acf5aa1bcda60898002287e6a3d6">cp</a>.<a class="code" href="structfaiss_1_1ClusteringParameters.html#a5c7c6f05c75e1668befdb3be148fd5f9">niter</a>,</div>
<div class="line"><a name="l00696"></a><span class="lineno">  696</span>&#160;                    (<a class="code" href="namespacefaiss.html#af2a71f7d5402ae02ce169a4cc83020eb">getmillisecs</a> () - t0) / 1000.0, pq_err);</div>
<div class="line"><a name="l00697"></a><span class="lineno">  697</span>&#160;</div>
<div class="line"><a name="l00698"></a><span class="lineno">  698</span>&#160;        {</div>
<div class="line"><a name="l00699"></a><span class="lineno">  699</span>&#160;            <span class="keywordtype">float</span> *u = tmp.data(), *vt = &amp;tmp [d * d];</div>
<div class="line"><a name="l00700"></a><span class="lineno">  700</span>&#160;            <span class="keywordtype">float</span> *sing_val = &amp;tmp [2 * d * d];</div>
<div class="line"><a name="l00701"></a><span class="lineno">  701</span>&#160;            FINTEGER di = d, d2i = d2, ni = n;</div>
<div class="line"><a name="l00702"></a><span class="lineno">  702</span>&#160;            <span class="keywordtype">float</span> one = 1, zero = 0;</div>
<div class="line"><a name="l00703"></a><span class="lineno">  703</span>&#160;</div>
<div class="line"><a name="l00704"></a><span class="lineno">  704</span>&#160;            <span class="comment">// torch.mm(xtrain:t(), pq_recons)</span></div>
<div class="line"><a name="l00705"></a><span class="lineno">  705</span>&#160;            sgemm_ (<span class="stringliteral">&quot;Not&quot;</span>, <span class="stringliteral">&quot;Transposed&quot;</span>,</div>
<div class="line"><a name="l00706"></a><span class="lineno">  706</span>&#160;                    &amp;d2i, &amp;di, &amp;ni,</div>
<div class="line"><a name="l00707"></a><span class="lineno">  707</span>&#160;                    &amp;one, pq_recons.data(), &amp;d2i,</div>
<div class="line"><a name="l00708"></a><span class="lineno">  708</span>&#160;                    xtrain.data(), &amp;di,</div>
<div class="line"><a name="l00709"></a><span class="lineno">  709</span>&#160;                    &amp;zero, xxr.data(), &amp;d2i);</div>
<div class="line"><a name="l00710"></a><span class="lineno">  710</span>&#160;</div>
<div class="line"><a name="l00711"></a><span class="lineno">  711</span>&#160;</div>
<div class="line"><a name="l00712"></a><span class="lineno">  712</span>&#160;            FINTEGER lwork = -1, info = -1;</div>
<div class="line"><a name="l00713"></a><span class="lineno">  713</span>&#160;            <span class="keywordtype">float</span> worksz;</div>
<div class="line"><a name="l00714"></a><span class="lineno">  714</span>&#160;            <span class="comment">// workspace query</span></div>
<div class="line"><a name="l00715"></a><span class="lineno">  715</span>&#160;            sgesvd_ (<span class="stringliteral">&quot;All&quot;</span>, <span class="stringliteral">&quot;All&quot;</span>,</div>
<div class="line"><a name="l00716"></a><span class="lineno">  716</span>&#160;                     &amp;d2i, &amp;di, xxr.data(), &amp;d2i,</div>
<div class="line"><a name="l00717"></a><span class="lineno">  717</span>&#160;                     sing_val,</div>
<div class="line"><a name="l00718"></a><span class="lineno">  718</span>&#160;                     vt, &amp;d2i, u, &amp;di,</div>
<div class="line"><a name="l00719"></a><span class="lineno">  719</span>&#160;                     &amp;worksz, &amp;lwork, &amp;info);</div>
<div class="line"><a name="l00720"></a><span class="lineno">  720</span>&#160;</div>
<div class="line"><a name="l00721"></a><span class="lineno">  721</span>&#160;            lwork = int(worksz);</div>
<div class="line"><a name="l00722"></a><span class="lineno">  722</span>&#160;            std::vector&lt;float&gt; work (lwork);</div>
<div class="line"><a name="l00723"></a><span class="lineno">  723</span>&#160;            <span class="comment">// u and vt swapped</span></div>
<div class="line"><a name="l00724"></a><span class="lineno">  724</span>&#160;            sgesvd_ (<span class="stringliteral">&quot;All&quot;</span>, <span class="stringliteral">&quot;All&quot;</span>,</div>
<div class="line"><a name="l00725"></a><span class="lineno">  725</span>&#160;                     &amp;d2i, &amp;di, xxr.data(), &amp;d2i,</div>
<div class="line"><a name="l00726"></a><span class="lineno">  726</span>&#160;                     sing_val,</div>
<div class="line"><a name="l00727"></a><span class="lineno">  727</span>&#160;                     vt, &amp;d2i, u, &amp;di,</div>
<div class="line"><a name="l00728"></a><span class="lineno">  728</span>&#160;                     work.data(), &amp;lwork, &amp;info);</div>
<div class="line"><a name="l00729"></a><span class="lineno">  729</span>&#160;</div>
<div class="line"><a name="l00730"></a><span class="lineno">  730</span>&#160;            sgemm_ (<span class="stringliteral">&quot;Transposed&quot;</span>, <span class="stringliteral">&quot;Transposed&quot;</span>,</div>
<div class="line"><a name="l00731"></a><span class="lineno">  731</span>&#160;                    &amp;di, &amp;d2i, &amp;d2i,</div>
<div class="line"><a name="l00732"></a><span class="lineno">  732</span>&#160;                    &amp;one, u, &amp;di, vt, &amp;d2i,</div>
<div class="line"><a name="l00733"></a><span class="lineno">  733</span>&#160;                    &amp;zero, rotation, &amp;di);</div>
<div class="line"><a name="l00734"></a><span class="lineno">  734</span>&#160;</div>
<div class="line"><a name="l00735"></a><span class="lineno">  735</span>&#160;        }</div>
<div class="line"><a name="l00736"></a><span class="lineno">  736</span>&#160;        pq_regular.train_type = <a class="code" href="structfaiss_1_1ProductQuantizer.html#a3a41c6286095e731be744548d9535a35a4960d143d2aa49cf92028cf3470c47a0">ProductQuantizer::Train_hot_start</a>;</div>
<div class="line"><a name="l00737"></a><span class="lineno">  737</span>&#160;    }</div>
<div class="line"><a name="l00738"></a><span class="lineno">  738</span>&#160;</div>
<div class="line"><a name="l00739"></a><span class="lineno">  739</span>&#160;    <span class="comment">// revert A matrix</span></div>
<div class="line"><a name="l00740"></a><span class="lineno">  740</span>&#160;    <span class="keywordflow">if</span> (d &gt; d_in) {</div>
<div class="line"><a name="l00741"></a><span class="lineno">  741</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">long</span> i = 0; i &lt; <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>; i++)</div>
<div class="line"><a name="l00742"></a><span class="lineno">  742</span>&#160;            memmove (&amp;<a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>[i * d_in], &amp;<a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>[i * d], <span class="keyword">sizeof</span>(<a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>[0]) * d_in);</div>
<div class="line"><a name="l00743"></a><span class="lineno">  743</span>&#160;        <a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>.resize (d_in * d_out);</div>
<div class="line"><a name="l00744"></a><span class="lineno">  744</span>&#160;    }</div>
<div class="line"><a name="l00745"></a><span class="lineno">  745</span>&#160;</div>
<div class="line"><a name="l00746"></a><span class="lineno">  746</span>&#160;    <a class="code" href="structfaiss_1_1VectorTransform.html#ab511f1ddf608c00204555881ca28cb02">is_trained</a> = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00747"></a><span class="lineno">  747</span>&#160;    <a class="code" href="structfaiss_1_1LinearTransform.html#a8a67a0178eab513cf87545f5d12d9569">is_orthonormal</a> = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00748"></a><span class="lineno">  748</span>&#160;}</div>
<div class="line"><a name="l00749"></a><span class="lineno">  749</span>&#160;</div>
<div class="line"><a name="l00750"></a><span class="lineno">  750</span>&#160;</div>
<div class="line"><a name="l00751"></a><span class="lineno">  751</span>&#160;<span class="comment">/*********************************************</span></div>
<div class="line"><a name="l00752"></a><span class="lineno">  752</span>&#160;<span class="comment"> * NormalizationTransform</span></div>
<div class="line"><a name="l00753"></a><span class="lineno">  753</span>&#160;<span class="comment"> *********************************************/</span></div>
<div class="line"><a name="l00754"></a><span class="lineno">  754</span>&#160;</div>
<div class="line"><a name="l00755"></a><span class="lineno">  755</span>&#160;NormalizationTransform::NormalizationTransform (<span class="keywordtype">int</span> d, <span class="keywordtype">float</span> norm):</div>
<div class="line"><a name="l00756"></a><span class="lineno">  756</span>&#160;    <a class="code" href="structfaiss_1_1VectorTransform.html">VectorTransform</a> (d, d), norm (norm)</div>
<div class="line"><a name="l00757"></a><span class="lineno">  757</span>&#160;{</div>
<div class="line"><a name="l00758"></a><span class="lineno">  758</span>&#160;}</div>
<div class="line"><a name="l00759"></a><span class="lineno">  759</span>&#160;</div>
<div class="line"><a name="l00760"></a><span class="lineno">  760</span>&#160;NormalizationTransform::NormalizationTransform ():</div>
<div class="line"><a name="l00761"></a><span class="lineno">  761</span>&#160;    <a class="code" href="structfaiss_1_1VectorTransform.html">VectorTransform</a> (-1, -1), norm (-1)</div>
<div class="line"><a name="l00762"></a><span class="lineno">  762</span>&#160;{</div>
<div class="line"><a name="l00763"></a><span class="lineno">  763</span>&#160;}</div>
<div class="line"><a name="l00764"></a><span class="lineno">  764</span>&#160;</div>
<div class="line"><a name="l00765"></a><span class="lineno">  765</span>&#160;<span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1NormalizationTransform.html#a80c94dc7d17c9a7a9edc627150401571">NormalizationTransform::apply_noalloc</a></div>
<div class="line"><a name="l00766"></a><span class="lineno"><a class="line" href="structfaiss_1_1NormalizationTransform.html#a80c94dc7d17c9a7a9edc627150401571">  766</a></span>&#160;      (idx_t n, <span class="keyword">const</span> <span class="keywordtype">float</span>* x, <span class="keywordtype">float</span>* xt) <span class="keyword">const</span></div>
<div class="line"><a name="l00767"></a><span class="lineno">  767</span>&#160;{</div>
<div class="line"><a name="l00768"></a><span class="lineno">  768</span>&#160;    <span class="keywordflow">if</span> (norm == 2.0) {</div>
<div class="line"><a name="l00769"></a><span class="lineno">  769</span>&#160;        memcpy (xt, x, <span class="keyword">sizeof</span> (x[0]) * n * d_in);</div>
<div class="line"><a name="l00770"></a><span class="lineno">  770</span>&#160;        fvec_renorm_L2 (d_in, n, xt);</div>
<div class="line"><a name="l00771"></a><span class="lineno">  771</span>&#160;    } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00772"></a><span class="lineno">  772</span>&#160;        FAISS_THROW_MSG (<span class="stringliteral">&quot;not implemented&quot;</span>);</div>
<div class="line"><a name="l00773"></a><span class="lineno">  773</span>&#160;    }</div>
<div class="line"><a name="l00774"></a><span class="lineno">  774</span>&#160;}</div>
<div class="line"><a name="l00775"></a><span class="lineno">  775</span>&#160;</div>
<div class="line"><a name="l00776"></a><span class="lineno"><a class="line" href="structfaiss_1_1NormalizationTransform.html#a58cc73dea14c1591a8812291d3d85bc0">  776</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1NormalizationTransform.html#a58cc73dea14c1591a8812291d3d85bc0">NormalizationTransform::reverse_transform</a> (idx_t n, <span class="keyword">const</span> <span class="keywordtype">float</span>* xt,</div>
<div class="line"><a name="l00777"></a><span class="lineno">  777</span>&#160;                                                <span class="keywordtype">float</span>* x)<span class="keyword"> const</span></div>
<div class="line"><a name="l00778"></a><span class="lineno">  778</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l00779"></a><span class="lineno">  779</span>&#160;    memcpy (x, xt, <span class="keyword">sizeof</span> (xt[0]) * n * d_in);</div>
<div class="line"><a name="l00780"></a><span class="lineno">  780</span>&#160;}</div>
<div class="line"><a name="l00781"></a><span class="lineno">  781</span>&#160;</div>
<div class="line"><a name="l00782"></a><span class="lineno">  782</span>&#160;<span class="comment">/*********************************************</span></div>
<div class="line"><a name="l00783"></a><span class="lineno">  783</span>&#160;<span class="comment"> * IndexPreTransform</span></div>
<div class="line"><a name="l00784"></a><span class="lineno">  784</span>&#160;<span class="comment"> *********************************************/</span></div>
<div class="line"><a name="l00785"></a><span class="lineno">  785</span>&#160;</div>
<div class="line"><a name="l00786"></a><span class="lineno">  786</span>&#160;IndexPreTransform::IndexPreTransform ():</div>
<div class="line"><a name="l00787"></a><span class="lineno">  787</span>&#160;    index(nullptr), own_fields (false)</div>
<div class="line"><a name="l00788"></a><span class="lineno">  788</span>&#160;{</div>
<div class="line"><a name="l00789"></a><span class="lineno">  789</span>&#160;}</div>
<div class="line"><a name="l00790"></a><span class="lineno">  790</span>&#160;</div>
<div class="line"><a name="l00791"></a><span class="lineno">  791</span>&#160;</div>
<div class="line"><a name="l00792"></a><span class="lineno"><a class="line" href="structfaiss_1_1IndexPreTransform.html#a2b16a03c38aa892292ba7a33da2ff7c4">  792</a></span>&#160;IndexPreTransform::IndexPreTransform (</div>
<div class="line"><a name="l00793"></a><span class="lineno">  793</span>&#160;        <a class="code" href="structfaiss_1_1Index.html">Index</a> * index):</div>
<div class="line"><a name="l00794"></a><span class="lineno">  794</span>&#160;    <a class="code" href="structfaiss_1_1Index.html">Index</a> (index-&gt;d, index-&gt;metric_type),</div>
<div class="line"><a name="l00795"></a><span class="lineno">  795</span>&#160;    index (index), own_fields (false)</div>
<div class="line"><a name="l00796"></a><span class="lineno">  796</span>&#160;{</div>
<div class="line"><a name="l00797"></a><span class="lineno">  797</span>&#160;    <a class="code" href="structfaiss_1_1Index.html#a6e92732617c4dbe364e7678dd8773a7f">is_trained</a> = index-&gt;<a class="code" href="structfaiss_1_1Index.html#a6e92732617c4dbe364e7678dd8773a7f">is_trained</a>;</div>
<div class="line"><a name="l00798"></a><span class="lineno">  798</span>&#160;}</div>
<div class="line"><a name="l00799"></a><span class="lineno">  799</span>&#160;</div>
<div class="line"><a name="l00800"></a><span class="lineno">  800</span>&#160;</div>
<div class="line"><a name="l00801"></a><span class="lineno"><a class="line" href="structfaiss_1_1IndexPreTransform.html#a7697b1e693b0f099c3c3ec732329c533">  801</a></span>&#160;IndexPreTransform::IndexPreTransform (</div>
<div class="line"><a name="l00802"></a><span class="lineno">  802</span>&#160;        <a class="code" href="structfaiss_1_1VectorTransform.html">VectorTransform</a> * ltrans,</div>
<div class="line"><a name="l00803"></a><span class="lineno">  803</span>&#160;        <a class="code" href="structfaiss_1_1Index.html">Index</a> * index):</div>
<div class="line"><a name="l00804"></a><span class="lineno">  804</span>&#160;    <a class="code" href="structfaiss_1_1Index.html">Index</a> (index-&gt;d, index-&gt;metric_type),</div>
<div class="line"><a name="l00805"></a><span class="lineno">  805</span>&#160;    index (index), own_fields (false)</div>
<div class="line"><a name="l00806"></a><span class="lineno">  806</span>&#160;{</div>
<div class="line"><a name="l00807"></a><span class="lineno">  807</span>&#160;    <a class="code" href="structfaiss_1_1Index.html#a6e92732617c4dbe364e7678dd8773a7f">is_trained</a> = index-&gt;<a class="code" href="structfaiss_1_1Index.html#a6e92732617c4dbe364e7678dd8773a7f">is_trained</a>;</div>
<div class="line"><a name="l00808"></a><span class="lineno">  808</span>&#160;    prepend_transform (ltrans);</div>
<div class="line"><a name="l00809"></a><span class="lineno">  809</span>&#160;}</div>
<div class="line"><a name="l00810"></a><span class="lineno">  810</span>&#160;</div>
<div class="line"><a name="l00811"></a><span class="lineno">  811</span>&#160;<span class="keywordtype">void</span> IndexPreTransform::prepend_transform (<a class="code" href="structfaiss_1_1VectorTransform.html">VectorTransform</a> *ltrans)</div>
<div class="line"><a name="l00812"></a><span class="lineno">  812</span>&#160;{</div>
<div class="line"><a name="l00813"></a><span class="lineno">  813</span>&#160;    FAISS_THROW_IF_NOT (ltrans-&gt;<a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a> == <a class="code" href="structfaiss_1_1Index.html#a2a002388d2c081c2dbab8508dcefe73d">d</a>);</div>
<div class="line"><a name="l00814"></a><span class="lineno">  814</span>&#160;    <a class="code" href="structfaiss_1_1Index.html#a6e92732617c4dbe364e7678dd8773a7f">is_trained</a> = <a class="code" href="structfaiss_1_1Index.html#a6e92732617c4dbe364e7678dd8773a7f">is_trained</a> &amp;&amp; ltrans-&gt;<a class="code" href="structfaiss_1_1VectorTransform.html#ab511f1ddf608c00204555881ca28cb02">is_trained</a>;</div>
<div class="line"><a name="l00815"></a><span class="lineno">  815</span>&#160;    chain.insert (chain.begin(), ltrans);</div>
<div class="line"><a name="l00816"></a><span class="lineno">  816</span>&#160;    <a class="code" href="structfaiss_1_1Index.html#a2a002388d2c081c2dbab8508dcefe73d">d</a> = ltrans-&gt;d_in;</div>
<div class="line"><a name="l00817"></a><span class="lineno">  817</span>&#160;}</div>
<div class="line"><a name="l00818"></a><span class="lineno">  818</span>&#160;</div>
<div class="line"><a name="l00819"></a><span class="lineno">  819</span>&#160;</div>
<div class="line"><a name="l00820"></a><span class="lineno">  820</span>&#160;IndexPreTransform::~IndexPreTransform ()</div>
<div class="line"><a name="l00821"></a><span class="lineno">  821</span>&#160;{</div>
<div class="line"><a name="l00822"></a><span class="lineno">  822</span>&#160;    <span class="keywordflow">if</span> (<a class="code" href="structfaiss_1_1IndexPreTransform.html#ae5ec3f184eb211e7d6e204082b52c8c0">own_fields</a>) {</div>
<div class="line"><a name="l00823"></a><span class="lineno">  823</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; chain.size(); i++)</div>
<div class="line"><a name="l00824"></a><span class="lineno">  824</span>&#160;            <span class="keyword">delete</span> chain[i];</div>
<div class="line"><a name="l00825"></a><span class="lineno">  825</span>&#160;        <span class="keyword">delete</span> <a class="code" href="structfaiss_1_1IndexPreTransform.html#aee3cbbe7915ec9ed13d59ca9276bdefc">index</a>;</div>
<div class="line"><a name="l00826"></a><span class="lineno">  826</span>&#160;    }</div>
<div class="line"><a name="l00827"></a><span class="lineno">  827</span>&#160;}</div>
<div class="line"><a name="l00828"></a><span class="lineno">  828</span>&#160;</div>
<div class="line"><a name="l00829"></a><span class="lineno">  829</span>&#160;</div>
<div class="line"><a name="l00830"></a><span class="lineno">  830</span>&#160;</div>
<div class="line"><a name="l00831"></a><span class="lineno">  831</span>&#160;</div>
<div class="line"><a name="l00832"></a><span class="lineno"><a class="line" href="structfaiss_1_1IndexPreTransform.html#a416aaf28d7a533dcf7d2d7de434e993c">  832</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1IndexPreTransform.html#a416aaf28d7a533dcf7d2d7de434e993c">IndexPreTransform::train</a> (<a class="code" href="structfaiss_1_1Index.html#a040c6aed1f224f3ea7bf58eebc0c31a4">idx_t</a> n, <span class="keyword">const</span> <span class="keywordtype">float</span> *x)</div>
<div class="line"><a name="l00833"></a><span class="lineno">  833</span>&#160;{</div>
<div class="line"><a name="l00834"></a><span class="lineno">  834</span>&#160;    <span class="keywordtype">int</span> last_untrained = 0;</div>
<div class="line"><a name="l00835"></a><span class="lineno">  835</span>&#160;    <span class="keywordflow">if</span> (!<a class="code" href="structfaiss_1_1IndexPreTransform.html#aee3cbbe7915ec9ed13d59ca9276bdefc">index</a>-&gt;<a class="code" href="structfaiss_1_1Index.html#a6e92732617c4dbe364e7678dd8773a7f">is_trained</a>) {</div>
<div class="line"><a name="l00836"></a><span class="lineno">  836</span>&#160;        last_untrained = chain.size();</div>
<div class="line"><a name="l00837"></a><span class="lineno">  837</span>&#160;    } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00838"></a><span class="lineno">  838</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = chain.size() - 1; i &gt;= 0; i--) {</div>
<div class="line"><a name="l00839"></a><span class="lineno">  839</span>&#160;            <span class="keywordflow">if</span> (!chain[i]-&gt;<a class="code" href="structfaiss_1_1Index.html#a6e92732617c4dbe364e7678dd8773a7f">is_trained</a>) {</div>
<div class="line"><a name="l00840"></a><span class="lineno">  840</span>&#160;                last_untrained = i;</div>
<div class="line"><a name="l00841"></a><span class="lineno">  841</span>&#160;                <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00842"></a><span class="lineno">  842</span>&#160;            }</div>
<div class="line"><a name="l00843"></a><span class="lineno">  843</span>&#160;        }</div>
<div class="line"><a name="l00844"></a><span class="lineno">  844</span>&#160;    }</div>
<div class="line"><a name="l00845"></a><span class="lineno">  845</span>&#160;    <span class="keyword">const</span> <span class="keywordtype">float</span> *prev_x = x;</div>
<div class="line"><a name="l00846"></a><span class="lineno">  846</span>&#160;    <a class="code" href="structfaiss_1_1ScopeDeleter.html">ScopeDeleter&lt;float&gt;</a> del;</div>
<div class="line"><a name="l00847"></a><span class="lineno">  847</span>&#160;</div>
<div class="line"><a name="l00848"></a><span class="lineno">  848</span>&#160;    <span class="keywordflow">if</span> (verbose) {</div>
<div class="line"><a name="l00849"></a><span class="lineno">  849</span>&#160;        printf(<span class="stringliteral">&quot;IndexPreTransform::train: training chain 0 to %d\n&quot;</span>,</div>
<div class="line"><a name="l00850"></a><span class="lineno">  850</span>&#160;               last_untrained);</div>
<div class="line"><a name="l00851"></a><span class="lineno">  851</span>&#160;    }</div>
<div class="line"><a name="l00852"></a><span class="lineno">  852</span>&#160;</div>
<div class="line"><a name="l00853"></a><span class="lineno">  853</span>&#160;    <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt;= last_untrained; i++) {</div>
<div class="line"><a name="l00854"></a><span class="lineno">  854</span>&#160;</div>
<div class="line"><a name="l00855"></a><span class="lineno">  855</span>&#160;        <span class="keywordflow">if</span> (i &lt; chain.size()) {</div>
<div class="line"><a name="l00856"></a><span class="lineno">  856</span>&#160;            <a class="code" href="structfaiss_1_1VectorTransform.html">VectorTransform</a> *ltrans = chain [i];</div>
<div class="line"><a name="l00857"></a><span class="lineno">  857</span>&#160;            <span class="keywordflow">if</span> (!ltrans-&gt;<a class="code" href="structfaiss_1_1VectorTransform.html#ab511f1ddf608c00204555881ca28cb02">is_trained</a>) {</div>
<div class="line"><a name="l00858"></a><span class="lineno">  858</span>&#160;                <span class="keywordflow">if</span> (verbose) {</div>
<div class="line"><a name="l00859"></a><span class="lineno">  859</span>&#160;                    printf(<span class="stringliteral">&quot;   Training chain component %d/%zd\n&quot;</span>,</div>
<div class="line"><a name="l00860"></a><span class="lineno">  860</span>&#160;                           i, chain.size());</div>
<div class="line"><a name="l00861"></a><span class="lineno">  861</span>&#160;                    <span class="keywordflow">if</span> (<a class="code" href="structfaiss_1_1OPQMatrix.html">OPQMatrix</a> *opqm = dynamic_cast&lt;OPQMatrix*&gt;(ltrans)) {</div>
<div class="line"><a name="l00862"></a><span class="lineno">  862</span>&#160;                        opqm-&gt;verbose = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00863"></a><span class="lineno">  863</span>&#160;                    }</div>
<div class="line"><a name="l00864"></a><span class="lineno">  864</span>&#160;                }</div>
<div class="line"><a name="l00865"></a><span class="lineno">  865</span>&#160;                ltrans-&gt;<a class="code" href="structfaiss_1_1VectorTransform.html#a7350d4dd28d60866d55ba4f75d2da84c">train</a> (n, prev_x);</div>
<div class="line"><a name="l00866"></a><span class="lineno">  866</span>&#160;            }</div>
<div class="line"><a name="l00867"></a><span class="lineno">  867</span>&#160;        } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00868"></a><span class="lineno">  868</span>&#160;            <span class="keywordflow">if</span> (verbose) {</div>
<div class="line"><a name="l00869"></a><span class="lineno">  869</span>&#160;                printf(<span class="stringliteral">&quot;   Training sub-index\n&quot;</span>);</div>
<div class="line"><a name="l00870"></a><span class="lineno">  870</span>&#160;            }</div>
<div class="line"><a name="l00871"></a><span class="lineno">  871</span>&#160;            <a class="code" href="structfaiss_1_1IndexPreTransform.html#aee3cbbe7915ec9ed13d59ca9276bdefc">index</a>-&gt;<a class="code" href="structfaiss_1_1Index.html#abf601502bdbfa02b9d7bcd7b3671b71d">train</a> (n, prev_x);</div>
<div class="line"><a name="l00872"></a><span class="lineno">  872</span>&#160;        }</div>
<div class="line"><a name="l00873"></a><span class="lineno">  873</span>&#160;        <span class="keywordflow">if</span> (i == last_untrained) <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00874"></a><span class="lineno">  874</span>&#160;        <span class="keywordflow">if</span> (verbose) {</div>
<div class="line"><a name="l00875"></a><span class="lineno">  875</span>&#160;            printf(<span class="stringliteral">&quot;   Applying transform %d/%zd\n&quot;</span>,</div>
<div class="line"><a name="l00876"></a><span class="lineno">  876</span>&#160;                   i, chain.size());</div>
<div class="line"><a name="l00877"></a><span class="lineno">  877</span>&#160;        }</div>
<div class="line"><a name="l00878"></a><span class="lineno">  878</span>&#160;</div>
<div class="line"><a name="l00879"></a><span class="lineno">  879</span>&#160;        <span class="keywordtype">float</span> * xt = chain[i]-&gt;apply (n, prev_x);</div>
<div class="line"><a name="l00880"></a><span class="lineno">  880</span>&#160;</div>
<div class="line"><a name="l00881"></a><span class="lineno">  881</span>&#160;        <span class="keywordflow">if</span> (prev_x != x) <span class="keyword">delete</span> [] prev_x;</div>
<div class="line"><a name="l00882"></a><span class="lineno">  882</span>&#160;        prev_x = xt;</div>
<div class="line"><a name="l00883"></a><span class="lineno">  883</span>&#160;        del.set(xt);</div>
<div class="line"><a name="l00884"></a><span class="lineno">  884</span>&#160;    }</div>
<div class="line"><a name="l00885"></a><span class="lineno">  885</span>&#160;</div>
<div class="line"><a name="l00886"></a><span class="lineno">  886</span>&#160;    <a class="code" href="structfaiss_1_1Index.html#a6e92732617c4dbe364e7678dd8773a7f">is_trained</a> = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00887"></a><span class="lineno">  887</span>&#160;}</div>
<div class="line"><a name="l00888"></a><span class="lineno">  888</span>&#160;</div>
<div class="line"><a name="l00889"></a><span class="lineno">  889</span>&#160;</div>
<div class="line"><a name="l00890"></a><span class="lineno"><a class="line" href="structfaiss_1_1IndexPreTransform.html#aa773a5763ebdd1561152b34453fda96d">  890</a></span>&#160;<span class="keyword">const</span> <span class="keywordtype">float</span> *<a class="code" href="structfaiss_1_1IndexPreTransform.html#aa773a5763ebdd1561152b34453fda96d">IndexPreTransform::apply_chain</a> (<a class="code" href="structfaiss_1_1Index.html#a040c6aed1f224f3ea7bf58eebc0c31a4">idx_t</a> n, <span class="keyword">const</span> <span class="keywordtype">float</span> *x)<span class="keyword"> const</span></div>
<div class="line"><a name="l00891"></a><span class="lineno">  891</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l00892"></a><span class="lineno">  892</span>&#160;    <span class="keyword">const</span> <span class="keywordtype">float</span> *prev_x = x;</div>
<div class="line"><a name="l00893"></a><span class="lineno">  893</span>&#160;    <a class="code" href="structfaiss_1_1ScopeDeleter.html">ScopeDeleter&lt;float&gt;</a> del;</div>
<div class="line"><a name="l00894"></a><span class="lineno">  894</span>&#160;</div>
<div class="line"><a name="l00895"></a><span class="lineno">  895</span>&#160;    <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; chain.size(); i++) {</div>
<div class="line"><a name="l00896"></a><span class="lineno">  896</span>&#160;        <span class="keywordtype">float</span> * xt = chain[i]-&gt;apply (n, prev_x);</div>
<div class="line"><a name="l00897"></a><span class="lineno">  897</span>&#160;        <a class="code" href="structfaiss_1_1ScopeDeleter.html">ScopeDeleter&lt;float&gt;</a> del2 (xt);</div>
<div class="line"><a name="l00898"></a><span class="lineno">  898</span>&#160;        del2.swap (del);</div>
<div class="line"><a name="l00899"></a><span class="lineno">  899</span>&#160;        prev_x = xt;</div>
<div class="line"><a name="l00900"></a><span class="lineno">  900</span>&#160;    }</div>
<div class="line"><a name="l00901"></a><span class="lineno">  901</span>&#160;    del.release ();</div>
<div class="line"><a name="l00902"></a><span class="lineno">  902</span>&#160;    <span class="keywordflow">return</span> prev_x;</div>
<div class="line"><a name="l00903"></a><span class="lineno">  903</span>&#160;}</div>
<div class="line"><a name="l00904"></a><span class="lineno">  904</span>&#160;</div>
<div class="line"><a name="l00905"></a><span class="lineno"><a class="line" href="structfaiss_1_1IndexPreTransform.html#aaa4851311641da569d02f8adbe1f04f0">  905</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1IndexPreTransform.html#aaa4851311641da569d02f8adbe1f04f0">IndexPreTransform::reverse_chain</a> (<a class="code" href="structfaiss_1_1Index.html#a040c6aed1f224f3ea7bf58eebc0c31a4">idx_t</a> n, <span class="keyword">const</span> <span class="keywordtype">float</span>* xt, <span class="keywordtype">float</span>* x)<span class="keyword"> const</span></div>
<div class="line"><a name="l00906"></a><span class="lineno">  906</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l00907"></a><span class="lineno">  907</span>&#160;    <span class="keyword">const</span> <span class="keywordtype">float</span>* next_x = xt;</div>
<div class="line"><a name="l00908"></a><span class="lineno">  908</span>&#160;    <a class="code" href="structfaiss_1_1ScopeDeleter.html">ScopeDeleter&lt;float&gt;</a> del;</div>
<div class="line"><a name="l00909"></a><span class="lineno">  909</span>&#160;</div>
<div class="line"><a name="l00910"></a><span class="lineno">  910</span>&#160;    <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = chain.size() - 1; i &gt;= 0; i--) {</div>
<div class="line"><a name="l00911"></a><span class="lineno">  911</span>&#160;        <span class="keywordtype">float</span>* prev_x = (i == 0) ? x : <span class="keyword">new</span> <span class="keywordtype">float</span> [n * chain[i]-&gt;d_in];</div>
<div class="line"><a name="l00912"></a><span class="lineno">  912</span>&#160;        <a class="code" href="structfaiss_1_1ScopeDeleter.html">ScopeDeleter&lt;float&gt;</a> del2 ((prev_x == x) ? <span class="keyword">nullptr</span> : prev_x);</div>
<div class="line"><a name="l00913"></a><span class="lineno">  913</span>&#160;        chain [i]-&gt;reverse_transform (n, next_x, prev_x);</div>
<div class="line"><a name="l00914"></a><span class="lineno">  914</span>&#160;        del2.swap (del);</div>
<div class="line"><a name="l00915"></a><span class="lineno">  915</span>&#160;        next_x = prev_x;</div>
<div class="line"><a name="l00916"></a><span class="lineno">  916</span>&#160;    }</div>
<div class="line"><a name="l00917"></a><span class="lineno">  917</span>&#160;}</div>
<div class="line"><a name="l00918"></a><span class="lineno">  918</span>&#160;</div>
<div class="line"><a name="l00919"></a><span class="lineno"><a class="line" href="structfaiss_1_1IndexPreTransform.html#a03c77c582a3421952e2cba2057083059">  919</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1IndexPreTransform.html#a03c77c582a3421952e2cba2057083059">IndexPreTransform::add</a> (<a class="code" href="structfaiss_1_1Index.html#a040c6aed1f224f3ea7bf58eebc0c31a4">idx_t</a> n, <span class="keyword">const</span> <span class="keywordtype">float</span> *x)</div>
<div class="line"><a name="l00920"></a><span class="lineno">  920</span>&#160;{</div>
<div class="line"><a name="l00921"></a><span class="lineno">  921</span>&#160;    FAISS_THROW_IF_NOT (<a class="code" href="structfaiss_1_1Index.html#a6e92732617c4dbe364e7678dd8773a7f">is_trained</a>);</div>
<div class="line"><a name="l00922"></a><span class="lineno">  922</span>&#160;    <span class="keyword">const</span> <span class="keywordtype">float</span> *xt = <a class="code" href="structfaiss_1_1IndexPreTransform.html#aa773a5763ebdd1561152b34453fda96d">apply_chain</a> (n, x);</div>
<div class="line"><a name="l00923"></a><span class="lineno">  923</span>&#160;    <a class="code" href="structfaiss_1_1ScopeDeleter.html">ScopeDeleter&lt;float&gt;</a> del(xt == x ? <span class="keyword">nullptr</span> : xt);</div>
<div class="line"><a name="l00924"></a><span class="lineno">  924</span>&#160;    <a class="code" href="structfaiss_1_1IndexPreTransform.html#aee3cbbe7915ec9ed13d59ca9276bdefc">index</a>-&gt;<a class="code" href="structfaiss_1_1Index.html#a1b5e9ac70adbce0897dd6c8276ad96f2">add</a> (n, xt);</div>
<div class="line"><a name="l00925"></a><span class="lineno">  925</span>&#160;    <a class="code" href="structfaiss_1_1Index.html#a6970683faa021b7a6f1a0865c0d4eccd">ntotal</a> = <a class="code" href="structfaiss_1_1IndexPreTransform.html#aee3cbbe7915ec9ed13d59ca9276bdefc">index</a>-&gt;<a class="code" href="structfaiss_1_1Index.html#a6970683faa021b7a6f1a0865c0d4eccd">ntotal</a>;</div>
<div class="line"><a name="l00926"></a><span class="lineno">  926</span>&#160;}</div>
<div class="line"><a name="l00927"></a><span class="lineno">  927</span>&#160;</div>
<div class="line"><a name="l00928"></a><span class="lineno"><a class="line" href="structfaiss_1_1IndexPreTransform.html#a07fef0553b2ef2907f394470f61898b2">  928</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1IndexPreTransform.html#a07fef0553b2ef2907f394470f61898b2">IndexPreTransform::add_with_ids</a> (<a class="code" href="structfaiss_1_1Index.html#a040c6aed1f224f3ea7bf58eebc0c31a4">idx_t</a> n, <span class="keyword">const</span> <span class="keywordtype">float</span> * x,</div>
<div class="line"><a name="l00929"></a><span class="lineno">  929</span>&#160;                                      <span class="keyword">const</span> <span class="keywordtype">long</span> *xids)</div>
<div class="line"><a name="l00930"></a><span class="lineno">  930</span>&#160;{</div>
<div class="line"><a name="l00931"></a><span class="lineno">  931</span>&#160;    FAISS_THROW_IF_NOT (<a class="code" href="structfaiss_1_1Index.html#a6e92732617c4dbe364e7678dd8773a7f">is_trained</a>);</div>
<div class="line"><a name="l00932"></a><span class="lineno">  932</span>&#160;    <span class="keyword">const</span> <span class="keywordtype">float</span> *xt = <a class="code" href="structfaiss_1_1IndexPreTransform.html#aa773a5763ebdd1561152b34453fda96d">apply_chain</a> (n, x);</div>
<div class="line"><a name="l00933"></a><span class="lineno">  933</span>&#160;    <a class="code" href="structfaiss_1_1ScopeDeleter.html">ScopeDeleter&lt;float&gt;</a> del(xt == x ? <span class="keyword">nullptr</span> : xt);</div>
<div class="line"><a name="l00934"></a><span class="lineno">  934</span>&#160;    <a class="code" href="structfaiss_1_1IndexPreTransform.html#aee3cbbe7915ec9ed13d59ca9276bdefc">index</a>-&gt;<a class="code" href="structfaiss_1_1Index.html#aa6931dfe054b33b02c842ff75f7a0c7f">add_with_ids</a> (n, xt, xids);</div>
<div class="line"><a name="l00935"></a><span class="lineno">  935</span>&#160;    <a class="code" href="structfaiss_1_1Index.html#a6970683faa021b7a6f1a0865c0d4eccd">ntotal</a> = <a class="code" href="structfaiss_1_1IndexPreTransform.html#aee3cbbe7915ec9ed13d59ca9276bdefc">index</a>-&gt;<a class="code" href="structfaiss_1_1Index.html#a6970683faa021b7a6f1a0865c0d4eccd">ntotal</a>;</div>
<div class="line"><a name="l00936"></a><span class="lineno">  936</span>&#160;}</div>
<div class="line"><a name="l00937"></a><span class="lineno">  937</span>&#160;</div>
<div class="line"><a name="l00938"></a><span class="lineno">  938</span>&#160;</div>
<div class="line"><a name="l00939"></a><span class="lineno">  939</span>&#160;</div>
<div class="line"><a name="l00940"></a><span class="lineno">  940</span>&#160;</div>
<div class="line"><a name="l00941"></a><span class="lineno"><a class="line" href="structfaiss_1_1IndexPreTransform.html#a7c2c820895d87083742969c281ae4911">  941</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1IndexPreTransform.html#a7c2c820895d87083742969c281ae4911">IndexPreTransform::search</a> (<a class="code" href="structfaiss_1_1Index.html#a040c6aed1f224f3ea7bf58eebc0c31a4">idx_t</a> n, <span class="keyword">const</span> <span class="keywordtype">float</span> *x, <a class="code" href="structfaiss_1_1Index.html#a040c6aed1f224f3ea7bf58eebc0c31a4">idx_t</a> k,</div>
<div class="line"><a name="l00942"></a><span class="lineno">  942</span>&#160;                               <span class="keywordtype">float</span> *distances, <a class="code" href="structfaiss_1_1Index.html#a040c6aed1f224f3ea7bf58eebc0c31a4">idx_t</a> *labels)<span class="keyword"> const</span></div>
<div class="line"><a name="l00943"></a><span class="lineno">  943</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l00944"></a><span class="lineno">  944</span>&#160;    FAISS_THROW_IF_NOT (<a class="code" href="structfaiss_1_1Index.html#a6e92732617c4dbe364e7678dd8773a7f">is_trained</a>);</div>
<div class="line"><a name="l00945"></a><span class="lineno">  945</span>&#160;    <span class="keyword">const</span> <span class="keywordtype">float</span> *xt = <a class="code" href="structfaiss_1_1IndexPreTransform.html#aa773a5763ebdd1561152b34453fda96d">apply_chain</a> (n, x);</div>
<div class="line"><a name="l00946"></a><span class="lineno">  946</span>&#160;    <a class="code" href="structfaiss_1_1ScopeDeleter.html">ScopeDeleter&lt;float&gt;</a> del(xt == x ? <span class="keyword">nullptr</span> : xt);</div>
<div class="line"><a name="l00947"></a><span class="lineno">  947</span>&#160;    <a class="code" href="structfaiss_1_1IndexPreTransform.html#aee3cbbe7915ec9ed13d59ca9276bdefc">index</a>-&gt;<a class="code" href="structfaiss_1_1Index.html#aced51b1ebc33c47ab3ae15ea906559a7">search</a> (n, xt, k, distances, labels);</div>
<div class="line"><a name="l00948"></a><span class="lineno">  948</span>&#160;}</div>
<div class="line"><a name="l00949"></a><span class="lineno">  949</span>&#160;</div>
<div class="line"><a name="l00950"></a><span class="lineno">  950</span>&#160;</div>
<div class="line"><a name="l00951"></a><span class="lineno"><a class="line" href="structfaiss_1_1IndexPreTransform.html#a8e48ac9fde5e76e378553b2a6ec2c86e">  951</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1IndexPreTransform.html#a8e48ac9fde5e76e378553b2a6ec2c86e">IndexPreTransform::reset</a> () {</div>
<div class="line"><a name="l00952"></a><span class="lineno">  952</span>&#160;    <a class="code" href="structfaiss_1_1IndexPreTransform.html#aee3cbbe7915ec9ed13d59ca9276bdefc">index</a>-&gt;<a class="code" href="structfaiss_1_1Index.html#a849361f5f0ab0aba8d419c86f2594191">reset</a>();</div>
<div class="line"><a name="l00953"></a><span class="lineno">  953</span>&#160;    <a class="code" href="structfaiss_1_1Index.html#a6970683faa021b7a6f1a0865c0d4eccd">ntotal</a> = 0;</div>
<div class="line"><a name="l00954"></a><span class="lineno">  954</span>&#160;}</div>
<div class="line"><a name="l00955"></a><span class="lineno">  955</span>&#160;</div>
<div class="line"><a name="l00956"></a><span class="lineno"><a class="line" href="structfaiss_1_1IndexPreTransform.html#ad4e59f4dacc1d8183a788510680f0df5">  956</a></span>&#160;<span class="keywordtype">long</span> <a class="code" href="structfaiss_1_1IndexPreTransform.html#ad4e59f4dacc1d8183a788510680f0df5">IndexPreTransform::remove_ids</a> (<span class="keyword">const</span> <a class="code" href="structfaiss_1_1IDSelector.html">IDSelector</a> &amp; sel) {</div>
<div class="line"><a name="l00957"></a><span class="lineno">  957</span>&#160;    <span class="keywordtype">long</span> nremove = <a class="code" href="structfaiss_1_1IndexPreTransform.html#aee3cbbe7915ec9ed13d59ca9276bdefc">index</a>-&gt;<a class="code" href="structfaiss_1_1Index.html#af8bf7bd97aeed8ad5fc48b242379a68a">remove_ids</a> (sel);</div>
<div class="line"><a name="l00958"></a><span class="lineno">  958</span>&#160;    <a class="code" href="structfaiss_1_1Index.html#a6970683faa021b7a6f1a0865c0d4eccd">ntotal</a> = <a class="code" href="structfaiss_1_1IndexPreTransform.html#aee3cbbe7915ec9ed13d59ca9276bdefc">index</a>-&gt;<a class="code" href="structfaiss_1_1Index.html#a6970683faa021b7a6f1a0865c0d4eccd">ntotal</a>;</div>
<div class="line"><a name="l00959"></a><span class="lineno">  959</span>&#160;    <span class="keywordflow">return</span> nremove;</div>
<div class="line"><a name="l00960"></a><span class="lineno">  960</span>&#160;}</div>
<div class="line"><a name="l00961"></a><span class="lineno">  961</span>&#160;</div>
<div class="line"><a name="l00962"></a><span class="lineno">  962</span>&#160;</div>
<div class="line"><a name="l00963"></a><span class="lineno"><a class="line" href="structfaiss_1_1IndexPreTransform.html#a02493fc85f4a47dce4ad7acd105320bf">  963</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1IndexPreTransform.html#a02493fc85f4a47dce4ad7acd105320bf">IndexPreTransform::reconstruct</a> (<a class="code" href="structfaiss_1_1Index.html#a040c6aed1f224f3ea7bf58eebc0c31a4">idx_t</a> key, <span class="keywordtype">float</span> * recons)<span class="keyword"> const</span></div>
<div class="line"><a name="l00964"></a><span class="lineno">  964</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l00965"></a><span class="lineno">  965</span>&#160;    <span class="keywordtype">float</span> *x = chain.empty() ? recons : <span class="keyword">new</span> <span class="keywordtype">float</span> [<a class="code" href="structfaiss_1_1IndexPreTransform.html#aee3cbbe7915ec9ed13d59ca9276bdefc">index</a>-&gt;<a class="code" href="structfaiss_1_1Index.html#a2a002388d2c081c2dbab8508dcefe73d">d</a>];</div>
<div class="line"><a name="l00966"></a><span class="lineno">  966</span>&#160;    <a class="code" href="structfaiss_1_1ScopeDeleter.html">ScopeDeleter&lt;float&gt;</a> del (recons == x ? <span class="keyword">nullptr</span> : x);</div>
<div class="line"><a name="l00967"></a><span class="lineno">  967</span>&#160;    <span class="comment">// Initial reconstruction</span></div>
<div class="line"><a name="l00968"></a><span class="lineno">  968</span>&#160;    <a class="code" href="structfaiss_1_1IndexPreTransform.html#aee3cbbe7915ec9ed13d59ca9276bdefc">index</a>-&gt;<a class="code" href="structfaiss_1_1Index.html#aaef6f4132b1f390121ebb11058baf190">reconstruct</a> (key, x);</div>
<div class="line"><a name="l00969"></a><span class="lineno">  969</span>&#160;</div>
<div class="line"><a name="l00970"></a><span class="lineno">  970</span>&#160;    <span class="comment">// Revert transformations from last to first</span></div>
<div class="line"><a name="l00971"></a><span class="lineno">  971</span>&#160;    <a class="code" href="structfaiss_1_1IndexPreTransform.html#aaa4851311641da569d02f8adbe1f04f0">reverse_chain</a> (1, x, recons);</div>
<div class="line"><a name="l00972"></a><span class="lineno">  972</span>&#160;}</div>
<div class="line"><a name="l00973"></a><span class="lineno">  973</span>&#160;</div>
<div class="line"><a name="l00974"></a><span class="lineno">  974</span>&#160;</div>
<div class="line"><a name="l00975"></a><span class="lineno"><a class="line" href="structfaiss_1_1IndexPreTransform.html#a370dd6ef091393401fa9b60e3d1d25b2">  975</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1IndexPreTransform.html#a370dd6ef091393401fa9b60e3d1d25b2">IndexPreTransform::reconstruct_n</a> (<a class="code" href="structfaiss_1_1Index.html#a040c6aed1f224f3ea7bf58eebc0c31a4">idx_t</a> i0, <a class="code" href="structfaiss_1_1Index.html#a040c6aed1f224f3ea7bf58eebc0c31a4">idx_t</a> ni, <span class="keywordtype">float</span> *recons)<span class="keyword"> const</span></div>
<div class="line"><a name="l00976"></a><span class="lineno">  976</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l00977"></a><span class="lineno">  977</span>&#160;    <span class="keywordtype">float</span> *x = chain.empty() ? recons : <span class="keyword">new</span> <span class="keywordtype">float</span> [ni * <a class="code" href="structfaiss_1_1IndexPreTransform.html#aee3cbbe7915ec9ed13d59ca9276bdefc">index</a>-&gt;<a class="code" href="structfaiss_1_1Index.html#a2a002388d2c081c2dbab8508dcefe73d">d</a>];</div>
<div class="line"><a name="l00978"></a><span class="lineno">  978</span>&#160;    <a class="code" href="structfaiss_1_1ScopeDeleter.html">ScopeDeleter&lt;float&gt;</a> del (recons == x ? <span class="keyword">nullptr</span> : x);</div>
<div class="line"><a name="l00979"></a><span class="lineno">  979</span>&#160;    <span class="comment">// Initial reconstruction</span></div>
<div class="line"><a name="l00980"></a><span class="lineno">  980</span>&#160;    <a class="code" href="structfaiss_1_1IndexPreTransform.html#aee3cbbe7915ec9ed13d59ca9276bdefc">index</a>-&gt;<a class="code" href="structfaiss_1_1Index.html#a1936604fffe16b0ef2a3879305950738">reconstruct_n</a> (i0, ni, x);</div>
<div class="line"><a name="l00981"></a><span class="lineno">  981</span>&#160;</div>
<div class="line"><a name="l00982"></a><span class="lineno">  982</span>&#160;    <span class="comment">// Revert transformations from last to first</span></div>
<div class="line"><a name="l00983"></a><span class="lineno">  983</span>&#160;    <a class="code" href="structfaiss_1_1IndexPreTransform.html#aaa4851311641da569d02f8adbe1f04f0">reverse_chain</a> (ni, x, recons);</div>
<div class="line"><a name="l00984"></a><span class="lineno">  984</span>&#160;}</div>
<div class="line"><a name="l00985"></a><span class="lineno">  985</span>&#160;</div>
<div class="line"><a name="l00986"></a><span class="lineno">  986</span>&#160;</div>
<div class="line"><a name="l00987"></a><span class="lineno"><a class="line" href="structfaiss_1_1IndexPreTransform.html#a97ceaf3f87d3d729846762295351e972">  987</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1IndexPreTransform.html#a97ceaf3f87d3d729846762295351e972">IndexPreTransform::search_and_reconstruct</a> (</div>
<div class="line"><a name="l00988"></a><span class="lineno">  988</span>&#160;      <a class="code" href="structfaiss_1_1Index.html#a040c6aed1f224f3ea7bf58eebc0c31a4">idx_t</a> n, <span class="keyword">const</span> <span class="keywordtype">float</span> *x, <a class="code" href="structfaiss_1_1Index.html#a040c6aed1f224f3ea7bf58eebc0c31a4">idx_t</a> k,</div>
<div class="line"><a name="l00989"></a><span class="lineno">  989</span>&#160;      <span class="keywordtype">float</span> *distances, <a class="code" href="structfaiss_1_1Index.html#a040c6aed1f224f3ea7bf58eebc0c31a4">idx_t</a> *labels, <span class="keywordtype">float</span>* recons)<span class="keyword"> const</span></div>
<div class="line"><a name="l00990"></a><span class="lineno">  990</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l00991"></a><span class="lineno">  991</span>&#160;    FAISS_THROW_IF_NOT (<a class="code" href="structfaiss_1_1Index.html#a6e92732617c4dbe364e7678dd8773a7f">is_trained</a>);</div>
<div class="line"><a name="l00992"></a><span class="lineno">  992</span>&#160;</div>
<div class="line"><a name="l00993"></a><span class="lineno">  993</span>&#160;    <span class="keyword">const</span> <span class="keywordtype">float</span>* xt = <a class="code" href="structfaiss_1_1IndexPreTransform.html#aa773a5763ebdd1561152b34453fda96d">apply_chain</a> (n, x);</div>
<div class="line"><a name="l00994"></a><span class="lineno">  994</span>&#160;    <a class="code" href="structfaiss_1_1ScopeDeleter.html">ScopeDeleter&lt;float&gt;</a> del ((xt == x) ? <span class="keyword">nullptr</span> : xt);</div>
<div class="line"><a name="l00995"></a><span class="lineno">  995</span>&#160;</div>
<div class="line"><a name="l00996"></a><span class="lineno">  996</span>&#160;    <span class="keywordtype">float</span>* recons_temp = chain.empty() ? recons : <span class="keyword">new</span> <span class="keywordtype">float</span> [n * k * <a class="code" href="structfaiss_1_1IndexPreTransform.html#aee3cbbe7915ec9ed13d59ca9276bdefc">index</a>-&gt;<a class="code" href="structfaiss_1_1Index.html#a2a002388d2c081c2dbab8508dcefe73d">d</a>];</div>
<div class="line"><a name="l00997"></a><span class="lineno">  997</span>&#160;    <a class="code" href="structfaiss_1_1ScopeDeleter.html">ScopeDeleter&lt;float&gt;</a> del2 ((recons_temp == recons) ? <span class="keyword">nullptr</span> : recons_temp);</div>
<div class="line"><a name="l00998"></a><span class="lineno">  998</span>&#160;    <a class="code" href="structfaiss_1_1IndexPreTransform.html#aee3cbbe7915ec9ed13d59ca9276bdefc">index</a>-&gt;<a class="code" href="structfaiss_1_1Index.html#aa5b4e63e1064f9bf9c75625d114b353f">search_and_reconstruct</a> (n, xt, k, distances, labels, recons_temp);</div>
<div class="line"><a name="l00999"></a><span class="lineno">  999</span>&#160;</div>
<div class="line"><a name="l01000"></a><span class="lineno"> 1000</span>&#160;    <span class="comment">// Revert transformations from last to first</span></div>
<div class="line"><a name="l01001"></a><span class="lineno"> 1001</span>&#160;    <a class="code" href="structfaiss_1_1IndexPreTransform.html#aaa4851311641da569d02f8adbe1f04f0">reverse_chain</a> (n * k, recons_temp, recons);</div>
<div class="line"><a name="l01002"></a><span class="lineno"> 1002</span>&#160;}</div>
<div class="line"><a name="l01003"></a><span class="lineno"> 1003</span>&#160;</div>
<div class="line"><a name="l01004"></a><span class="lineno"> 1004</span>&#160;</div>
<div class="line"><a name="l01005"></a><span class="lineno"> 1005</span>&#160;<span class="comment">/*********************************************</span></div>
<div class="line"><a name="l01006"></a><span class="lineno"> 1006</span>&#160;<span class="comment"> * RemapDimensionsTransform</span></div>
<div class="line"><a name="l01007"></a><span class="lineno"> 1007</span>&#160;<span class="comment"> *********************************************/</span></div>
<div class="line"><a name="l01008"></a><span class="lineno"> 1008</span>&#160;</div>
<div class="line"><a name="l01009"></a><span class="lineno"> 1009</span>&#160;</div>
<div class="line"><a name="l01010"></a><span class="lineno"> 1010</span>&#160;RemapDimensionsTransform::RemapDimensionsTransform (</div>
<div class="line"><a name="l01011"></a><span class="lineno"> 1011</span>&#160;        <span class="keywordtype">int</span> d_in, <span class="keywordtype">int</span> d_out, <span class="keyword">const</span> <span class="keywordtype">int</span> *map_in):</div>
<div class="line"><a name="l01012"></a><span class="lineno"> 1012</span>&#160;    <a class="code" href="structfaiss_1_1VectorTransform.html">VectorTransform</a> (d_in, d_out)</div>
<div class="line"><a name="l01013"></a><span class="lineno"> 1013</span>&#160;{</div>
<div class="line"><a name="l01014"></a><span class="lineno"> 1014</span>&#160;    map.resize (d_out);</div>
<div class="line"><a name="l01015"></a><span class="lineno"> 1015</span>&#160;    <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; d_out; i++) {</div>
<div class="line"><a name="l01016"></a><span class="lineno"> 1016</span>&#160;        map[i] = map_in[i];</div>
<div class="line"><a name="l01017"></a><span class="lineno"> 1017</span>&#160;        FAISS_THROW_IF_NOT (map[i] == -1 || (map[i] &gt;= 0 &amp;&amp; map[i] &lt; d_in));</div>
<div class="line"><a name="l01018"></a><span class="lineno"> 1018</span>&#160;    }</div>
<div class="line"><a name="l01019"></a><span class="lineno"> 1019</span>&#160;}</div>
<div class="line"><a name="l01020"></a><span class="lineno"> 1020</span>&#160;</div>
<div class="line"><a name="l01021"></a><span class="lineno"><a class="line" href="structfaiss_1_1RemapDimensionsTransform.html#ab07ceccc4dc767a000879c72337ddd69"> 1021</a></span>&#160;RemapDimensionsTransform::RemapDimensionsTransform (</div>
<div class="line"><a name="l01022"></a><span class="lineno"> 1022</span>&#160;      <span class="keywordtype">int</span> d_in, <span class="keywordtype">int</span> d_out, <span class="keywordtype">bool</span> uniform): <a class="code" href="structfaiss_1_1VectorTransform.html">VectorTransform</a> (d_in, d_out)</div>
<div class="line"><a name="l01023"></a><span class="lineno"> 1023</span>&#160;{</div>
<div class="line"><a name="l01024"></a><span class="lineno"> 1024</span>&#160;    <a class="code" href="structfaiss_1_1RemapDimensionsTransform.html#a09202a195ff5f75f83e68792751a637f">map</a>.resize (d_out, -1);</div>
<div class="line"><a name="l01025"></a><span class="lineno"> 1025</span>&#160;</div>
<div class="line"><a name="l01026"></a><span class="lineno"> 1026</span>&#160;    <span class="keywordflow">if</span> (uniform) {</div>
<div class="line"><a name="l01027"></a><span class="lineno"> 1027</span>&#160;        <span class="keywordflow">if</span> (d_in &lt; d_out) {</div>
<div class="line"><a name="l01028"></a><span class="lineno"> 1028</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; d_in; i++) {</div>
<div class="line"><a name="l01029"></a><span class="lineno"> 1029</span>&#160;                <a class="code" href="structfaiss_1_1RemapDimensionsTransform.html#a09202a195ff5f75f83e68792751a637f">map</a> [i * d_out / d_in] = i;</div>
<div class="line"><a name="l01030"></a><span class="lineno"> 1030</span>&#160;        }</div>
<div class="line"><a name="l01031"></a><span class="lineno"> 1031</span>&#160;        } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l01032"></a><span class="lineno"> 1032</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>; i++) {</div>
<div class="line"><a name="l01033"></a><span class="lineno"> 1033</span>&#160;                <a class="code" href="structfaiss_1_1RemapDimensionsTransform.html#a09202a195ff5f75f83e68792751a637f">map</a> [i] = i * d_in / <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>;</div>
<div class="line"><a name="l01034"></a><span class="lineno"> 1034</span>&#160;            }</div>
<div class="line"><a name="l01035"></a><span class="lineno"> 1035</span>&#160;        }</div>
<div class="line"><a name="l01036"></a><span class="lineno"> 1036</span>&#160;    } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l01037"></a><span class="lineno"> 1037</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; d_in &amp;&amp; i &lt; <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>; i++)</div>
<div class="line"><a name="l01038"></a><span class="lineno"> 1038</span>&#160;            <a class="code" href="structfaiss_1_1RemapDimensionsTransform.html#a09202a195ff5f75f83e68792751a637f">map</a> [i] = i;</div>
<div class="line"><a name="l01039"></a><span class="lineno"> 1039</span>&#160;    }</div>
<div class="line"><a name="l01040"></a><span class="lineno"> 1040</span>&#160;}</div>
<div class="line"><a name="l01041"></a><span class="lineno"> 1041</span>&#160;</div>
<div class="line"><a name="l01042"></a><span class="lineno"> 1042</span>&#160;</div>
<div class="line"><a name="l01043"></a><span class="lineno"><a class="line" href="structfaiss_1_1RemapDimensionsTransform.html#a550be3d40c221d2134bf06a13dd33c4d"> 1043</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1RemapDimensionsTransform.html#a550be3d40c221d2134bf06a13dd33c4d">RemapDimensionsTransform::apply_noalloc</a> (idx_t n, <span class="keyword">const</span> <span class="keywordtype">float</span> * x,</div>
<div class="line"><a name="l01044"></a><span class="lineno"> 1044</span>&#160;                                              <span class="keywordtype">float</span> *xt)<span class="keyword"> const</span></div>
<div class="line"><a name="l01045"></a><span class="lineno"> 1045</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l01046"></a><span class="lineno"> 1046</span>&#160;    <span class="keywordflow">for</span> (idx_t i = 0; i &lt; n; i++) {</div>
<div class="line"><a name="l01047"></a><span class="lineno"> 1047</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>; j++) {</div>
<div class="line"><a name="l01048"></a><span class="lineno"> 1048</span>&#160;            xt[j] = <a class="code" href="structfaiss_1_1RemapDimensionsTransform.html#a09202a195ff5f75f83e68792751a637f">map</a>[j] &lt; 0 ? 0 : x[<a class="code" href="structfaiss_1_1RemapDimensionsTransform.html#a09202a195ff5f75f83e68792751a637f">map</a>[j]];</div>
<div class="line"><a name="l01049"></a><span class="lineno"> 1049</span>&#160;        }</div>
<div class="line"><a name="l01050"></a><span class="lineno"> 1050</span>&#160;        x += d_in;</div>
<div class="line"><a name="l01051"></a><span class="lineno"> 1051</span>&#160;        xt += <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>;</div>
<div class="line"><a name="l01052"></a><span class="lineno"> 1052</span>&#160;    }</div>
<div class="line"><a name="l01053"></a><span class="lineno"> 1053</span>&#160;}</div>
<div class="line"><a name="l01054"></a><span class="lineno"> 1054</span>&#160;</div>
<div class="line"><a name="l01055"></a><span class="lineno"><a class="line" href="structfaiss_1_1RemapDimensionsTransform.html#a2fc83e79e4d3c7853bfd6931cbbaf82a"> 1055</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1RemapDimensionsTransform.html#a2fc83e79e4d3c7853bfd6931cbbaf82a">RemapDimensionsTransform::reverse_transform</a> (idx_t n, <span class="keyword">const</span> <span class="keywordtype">float</span> * xt,</div>
<div class="line"><a name="l01056"></a><span class="lineno"> 1056</span>&#160;                                                  <span class="keywordtype">float</span> *x)<span class="keyword"> const</span></div>
<div class="line"><a name="l01057"></a><span class="lineno"> 1057</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l01058"></a><span class="lineno"> 1058</span>&#160;    memset (x, 0, <span class="keyword">sizeof</span> (*x) * n * d_in);</div>
<div class="line"><a name="l01059"></a><span class="lineno"> 1059</span>&#160;    <span class="keywordflow">for</span> (idx_t i = 0; i &lt; n; i++) {</div>
<div class="line"><a name="l01060"></a><span class="lineno"> 1060</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>; j++) {</div>
<div class="line"><a name="l01061"></a><span class="lineno"> 1061</span>&#160;            <span class="keywordflow">if</span> (<a class="code" href="structfaiss_1_1RemapDimensionsTransform.html#a09202a195ff5f75f83e68792751a637f">map</a>[j] &gt;= 0) x[<a class="code" href="structfaiss_1_1RemapDimensionsTransform.html#a09202a195ff5f75f83e68792751a637f">map</a>[j]] = xt[j];</div>
<div class="line"><a name="l01062"></a><span class="lineno"> 1062</span>&#160;        }</div>
<div class="line"><a name="l01063"></a><span class="lineno"> 1063</span>&#160;        x += d_in;</div>
<div class="line"><a name="l01064"></a><span class="lineno"> 1064</span>&#160;        xt += <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>;</div>
<div class="line"><a name="l01065"></a><span class="lineno"> 1065</span>&#160;    }</div>
<div class="line"><a name="l01066"></a><span class="lineno"> 1066</span>&#160;}</div>
<div class="ttc" id="structfaiss_1_1LinearTransform_html_a1642efca4f5eb524c29722b0441c4d13"><div class="ttname"><a href="structfaiss_1_1LinearTransform.html#a1642efca4f5eb524c29722b0441c4d13">faiss::LinearTransform::transform_transpose</a></div><div class="ttdeci">void transform_transpose(idx_t n, const float *y, float *x) const </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l00135">VectorTransform.cpp:135</a></div></div>
<div class="ttc" id="structfaiss_1_1IndexPreTransform_html_aee3cbbe7915ec9ed13d59ca9276bdefc"><div class="ttname"><a href="structfaiss_1_1IndexPreTransform.html#aee3cbbe7915ec9ed13d59ca9276bdefc">faiss::IndexPreTransform::index</a></div><div class="ttdeci">Index * index</div><div class="ttdoc">! chain of tranforms </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8h_source.html#l00254">VectorTransform.h:254</a></div></div>
<div class="ttc" id="structfaiss_1_1RandomRotationMatrix_html"><div class="ttname"><a href="structfaiss_1_1RandomRotationMatrix.html">faiss::RandomRotationMatrix</a></div><div class="ttdoc">Randomly rotate a set of vectors. </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8h_source.html#l00117">VectorTransform.h:117</a></div></div>
<div class="ttc" id="structfaiss_1_1ClusteringParameters_html_a5c7c6f05c75e1668befdb3be148fd5f9"><div class="ttname"><a href="structfaiss_1_1ClusteringParameters.html#a5c7c6f05c75e1668befdb3be148fd5f9">faiss::ClusteringParameters::niter</a></div><div class="ttdeci">int niter</div><div class="ttdoc">clustering iterations </div><div class="ttdef"><b>Definition:</b> <a href="Clustering_8h_source.html#l00025">Clustering.h:25</a></div></div>
<div class="ttc" id="structfaiss_1_1OPQMatrix_html_a12cb3e05989dee37592b682070c31000"><div class="ttname"><a href="structfaiss_1_1OPQMatrix.html#a12cb3e05989dee37592b682070c31000">faiss::OPQMatrix::niter</a></div><div class="ttdeci">int niter</div><div class="ttdoc">Number of outer training iterations. </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8h_source.html#l00190">VectorTransform.h:190</a></div></div>
<div class="ttc" id="structfaiss_1_1ProductQuantizer_html_a7afbf9d96276f021981e99f064254208"><div class="ttname"><a href="structfaiss_1_1ProductQuantizer.html#a7afbf9d96276f021981e99f064254208">faiss::ProductQuantizer::decode</a></div><div class="ttdeci">void decode(const uint8_t *code, float *x) const </div><div class="ttdoc">decode a vector from a given code (or n vectors if third argument) </div><div class="ttdef"><b>Definition:</b> <a href="ProductQuantizer_8cpp_source.html#l00339">ProductQuantizer.cpp:339</a></div></div>
<div class="ttc" id="namespacefaiss_html_a7466bd32de31640860393a701eaac5ad"><div class="ttname"><a href="namespacefaiss.html#a7466bd32de31640860393a701eaac5ad">faiss::fvec_L2sqr</a></div><div class="ttdeci">float fvec_L2sqr(const float *x, const float *y, size_t d)</div><div class="ttdoc">Squared L2 distance between two vectors. </div><div class="ttdef"><b>Definition:</b> <a href="utils_8cpp_source.html#l00574">utils.cpp:574</a></div></div>
<div class="ttc" id="structfaiss_1_1RandomRotationMatrix_html_a857ad8c32fb76b3298d4eea4338ff66f"><div class="ttname"><a href="structfaiss_1_1RandomRotationMatrix.html#a857ad8c32fb76b3298d4eea4338ff66f">faiss::RandomRotationMatrix::init</a></div><div class="ttdeci">void init(int seed)</div><div class="ttdoc">must be called before the transform is used </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l00215">VectorTransform.cpp:215</a></div></div>
<div class="ttc" id="structfaiss_1_1IndexPreTransform_html_a8e48ac9fde5e76e378553b2a6ec2c86e"><div class="ttname"><a href="structfaiss_1_1IndexPreTransform.html#a8e48ac9fde5e76e378553b2a6ec2c86e">faiss::IndexPreTransform::reset</a></div><div class="ttdeci">void reset() override</div><div class="ttdoc">removes all elements from the database. </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l00951">VectorTransform.cpp:951</a></div></div>
<div class="ttc" id="structfaiss_1_1Index_html_a849361f5f0ab0aba8d419c86f2594191"><div class="ttname"><a href="structfaiss_1_1Index.html#a849361f5f0ab0aba8d419c86f2594191">faiss::Index::reset</a></div><div class="ttdeci">virtual void reset()=0</div><div class="ttdoc">removes all elements from the database. </div></div>
<div class="ttc" id="structfaiss_1_1OPQMatrix_html_ab88c87a3931ec356904abf5f1f797a83"><div class="ttname"><a href="structfaiss_1_1OPQMatrix.html#ab88c87a3931ec356904abf5f1f797a83">faiss::OPQMatrix::niter_pq</a></div><div class="ttdeci">int niter_pq</div><div class="ttdoc">Number of training iterations for the PQ. </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8h_source.html#l00191">VectorTransform.h:191</a></div></div>
<div class="ttc" id="structfaiss_1_1LinearTransform_html_aa40e156ef57fe206cd5f3a58ec0660da"><div class="ttname"><a href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">faiss::LinearTransform::A</a></div><div class="ttdeci">std::vector&lt; float &gt; A</div><div class="ttdoc">Transformation matrix, size d_out * d_in. </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8h_source.html#l00085">VectorTransform.h:85</a></div></div>
<div class="ttc" id="structfaiss_1_1Index_html_aa5b4e63e1064f9bf9c75625d114b353f"><div class="ttname"><a href="structfaiss_1_1Index.html#aa5b4e63e1064f9bf9c75625d114b353f">faiss::Index::search_and_reconstruct</a></div><div class="ttdeci">virtual void search_and_reconstruct(idx_t n, const float *x, idx_t k, float *distances, idx_t *labels, float *recons) const </div><div class="ttdef"><b>Definition:</b> <a href="Index_8cpp_source.html#l00066">Index.cpp:66</a></div></div>
<div class="ttc" id="namespacefaiss_html_a14884d253128c7af5891a65082ad7dc6"><div class="ttname"><a href="namespacefaiss.html#a14884d253128c7af5891a65082ad7dc6">faiss::fvecs_maybe_subsample</a></div><div class="ttdeci">const float * fvecs_maybe_subsample(size_t d, size_t *n, size_t nmax, const float *x, bool verbose, long seed)</div><div class="ttdef"><b>Definition:</b> <a href="utils_8cpp_source.html#l01975">utils.cpp:1975</a></div></div>
<div class="ttc" id="structfaiss_1_1PCAMatrix_html_a4e48e801f98ba2cf57c03b0913d6fafc"><div class="ttname"><a href="structfaiss_1_1PCAMatrix.html#a4e48e801f98ba2cf57c03b0913d6fafc">faiss::PCAMatrix::eigen_power</a></div><div class="ttdeci">float eigen_power</div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8h_source.html#l00140">VectorTransform.h:140</a></div></div>
<div class="ttc" id="structfaiss_1_1IDSelector_html"><div class="ttname"><a href="structfaiss_1_1IDSelector.html">faiss::IDSelector</a></div><div class="ttdef"><b>Definition:</b> <a href="AuxIndexStructures_8h_source.html#l00052">AuxIndexStructures.h:52</a></div></div>
<div class="ttc" id="structfaiss_1_1LinearTransform_html_a2fffd6064defb7c3fdaf143c0c4a9bc7"><div class="ttname"><a href="structfaiss_1_1LinearTransform.html#a2fffd6064defb7c3fdaf143c0c4a9bc7">faiss::LinearTransform::LinearTransform</a></div><div class="ttdeci">LinearTransform(int d_in=0, int d_out=0, bool have_bias=false)</div><div class="ttdoc">both d_in &amp;gt; d_out and d_out &amp;lt; d_in are supported </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l00100">VectorTransform.cpp:100</a></div></div>
<div class="ttc" id="structfaiss_1_1PCAMatrix_html"><div class="ttname"><a href="structfaiss_1_1PCAMatrix.html">faiss::PCAMatrix</a></div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8h_source.html#l00132">VectorTransform.h:132</a></div></div>
<div class="ttc" id="structfaiss_1_1LinearTransform_html_aca77897ef5c27c69374b4d9555e5b332"><div class="ttname"><a href="structfaiss_1_1LinearTransform.html#aca77897ef5c27c69374b4d9555e5b332">faiss::LinearTransform::set_is_orthonormal</a></div><div class="ttdeci">void set_is_orthonormal()</div><div class="ttdoc">compute A^T * A to set the is_orthonormal flag </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l00160">VectorTransform.cpp:160</a></div></div>
<div class="ttc" id="structfaiss_1_1OPQMatrix_html_a01d3736c8e725f596b99440324544a59"><div class="ttname"><a href="structfaiss_1_1OPQMatrix.html#a01d3736c8e725f596b99440324544a59">faiss::OPQMatrix::pq</a></div><div class="ttdeci">ProductQuantizer * pq</div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8h_source.html#l00200">VectorTransform.h:200</a></div></div>
<div class="ttc" id="structfaiss_1_1Index_html_abf601502bdbfa02b9d7bcd7b3671b71d"><div class="ttname"><a href="structfaiss_1_1Index.html#abf601502bdbfa02b9d7bcd7b3671b71d">faiss::Index::train</a></div><div class="ttdeci">virtual void train(idx_t n, const float *x)</div><div class="ttdef"><b>Definition:</b> <a href="Index_8cpp_source.html#l00023">Index.cpp:23</a></div></div>
<div class="ttc" id="structfaiss_1_1Index_html_aa6931dfe054b33b02c842ff75f7a0c7f"><div class="ttname"><a href="structfaiss_1_1Index.html#aa6931dfe054b33b02c842ff75f7a0c7f">faiss::Index::add_with_ids</a></div><div class="ttdeci">virtual void add_with_ids(idx_t n, const float *x, const long *xids)</div><div class="ttdef"><b>Definition:</b> <a href="Index_8cpp_source.html#l00041">Index.cpp:41</a></div></div>
<div class="ttc" id="structfaiss_1_1OPQMatrix_html"><div class="ttname"><a href="structfaiss_1_1OPQMatrix.html">faiss::OPQMatrix</a></div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8h_source.html#l00187">VectorTransform.h:187</a></div></div>
<div class="ttc" id="structfaiss_1_1ScopeDeleter_html"><div class="ttname"><a href="structfaiss_1_1ScopeDeleter.html">faiss::ScopeDeleter</a></div><div class="ttdef"><b>Definition:</b> <a href="FaissException_8h_source.html#l00039">FaissException.h:39</a></div></div>
<div class="ttc" id="structfaiss_1_1PCAMatrix_html_a8f2dd12da8dce3cbeb22da9c5d4ec3e7"><div class="ttname"><a href="structfaiss_1_1PCAMatrix.html#a8f2dd12da8dce3cbeb22da9c5d4ec3e7">faiss::PCAMatrix::train</a></div><div class="ttdeci">void train(Index::idx_t n, const float *x) override</div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l00316">VectorTransform.cpp:316</a></div></div>
<div class="ttc" id="structfaiss_1_1PCAMatrix_html_a721c338c1df5c99471db82e6d3dc8f93"><div class="ttname"><a href="structfaiss_1_1PCAMatrix.html#a721c338c1df5c99471db82e6d3dc8f93">faiss::PCAMatrix::mean</a></div><div class="ttdeci">std::vector&lt; float &gt; mean</div><div class="ttdoc">Mean, size d_in. </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8h_source.html#l00152">VectorTransform.h:152</a></div></div>
<div class="ttc" id="structfaiss_1_1RemapDimensionsTransform_html_a09202a195ff5f75f83e68792751a637f"><div class="ttname"><a href="structfaiss_1_1RemapDimensionsTransform.html#a09202a195ff5f75f83e68792751a637f">faiss::RemapDimensionsTransform::map</a></div><div class="ttdeci">std::vector&lt; int &gt; map</div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8h_source.html#l00216">VectorTransform.h:216</a></div></div>
<div class="ttc" id="structfaiss_1_1IndexPreTransform_html_aa773a5763ebdd1561152b34453fda96d"><div class="ttname"><a href="structfaiss_1_1IndexPreTransform.html#aa773a5763ebdd1561152b34453fda96d">faiss::IndexPreTransform::apply_chain</a></div><div class="ttdeci">const float * apply_chain(idx_t n, const float *x) const </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l00890">VectorTransform.cpp:890</a></div></div>
<div class="ttc" id="structfaiss_1_1PCAMatrix_html_aef5c130774e5d4f697a3e1c82647bfd3"><div class="ttname"><a href="structfaiss_1_1PCAMatrix.html#aef5c130774e5d4f697a3e1c82647bfd3">faiss::PCAMatrix::PCAMat</a></div><div class="ttdeci">std::vector&lt; float &gt; PCAMat</div><div class="ttdoc">PCA matrix, size d_in * d_in. </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8h_source.html#l00158">VectorTransform.h:158</a></div></div>
<div class="ttc" id="structfaiss_1_1IndexPreTransform_html_a416aaf28d7a533dcf7d2d7de434e993c"><div class="ttname"><a href="structfaiss_1_1IndexPreTransform.html#a416aaf28d7a533dcf7d2d7de434e993c">faiss::IndexPreTransform::train</a></div><div class="ttdeci">void train(idx_t n, const float *x) override</div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l00832">VectorTransform.cpp:832</a></div></div>
<div class="ttc" id="structfaiss_1_1ProductQuantizer_html_ae5a340ee5a4b1d35a565b167de2a2ef1"><div class="ttname"><a href="structfaiss_1_1ProductQuantizer.html#ae5a340ee5a4b1d35a565b167de2a2ef1">faiss::ProductQuantizer::compute_codes</a></div><div class="ttdeci">void compute_codes(const float *x, uint8_t *codes, size_t n) const </div><div class="ttdoc">same as compute_code for several vectors </div><div class="ttdef"><b>Definition:</b> <a href="ProductQuantizer_8cpp_source.html#l00386">ProductQuantizer.cpp:386</a></div></div>
<div class="ttc" id="structfaiss_1_1Index_html_a2a002388d2c081c2dbab8508dcefe73d"><div class="ttname"><a href="structfaiss_1_1Index.html#a2a002388d2c081c2dbab8508dcefe73d">faiss::Index::d</a></div><div class="ttdeci">int d</div><div class="ttdoc">vector dimension </div><div class="ttdef"><b>Definition:</b> <a href="Index_8h_source.html#l00064">Index.h:64</a></div></div>
<div class="ttc" id="structfaiss_1_1LinearTransform_html_ab0383f690aeb823876e9143febad1a87"><div class="ttname"><a href="structfaiss_1_1LinearTransform.html#ab0383f690aeb823876e9143febad1a87">faiss::LinearTransform::b</a></div><div class="ttdeci">std::vector&lt; float &gt; b</div><div class="ttdoc">bias vector, size d_out </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8h_source.html#l00088">VectorTransform.h:88</a></div></div>
<div class="ttc" id="structfaiss_1_1LinearTransform_html_a078caa663cf329de13851ebb026fb5d5"><div class="ttname"><a href="structfaiss_1_1LinearTransform.html#a078caa663cf329de13851ebb026fb5d5">faiss::LinearTransform::reverse_transform</a></div><div class="ttdeci">void reverse_transform(idx_t n, const float *xt, float *x) const override</div><div class="ttdoc">works only if is_orthonormal </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l00199">VectorTransform.cpp:199</a></div></div>
<div class="ttc" id="structfaiss_1_1Index_html_a1936604fffe16b0ef2a3879305950738"><div class="ttname"><a href="structfaiss_1_1Index.html#a1936604fffe16b0ef2a3879305950738">faiss::Index::reconstruct_n</a></div><div class="ttdeci">virtual void reconstruct_n(idx_t i0, idx_t ni, float *recons) const </div><div class="ttdef"><b>Definition:</b> <a href="Index_8cpp_source.html#l00059">Index.cpp:59</a></div></div>
<div class="ttc" id="structfaiss_1_1Index_html_a1b5e9ac70adbce0897dd6c8276ad96f2"><div class="ttname"><a href="structfaiss_1_1Index.html#a1b5e9ac70adbce0897dd6c8276ad96f2">faiss::Index::add</a></div><div class="ttdeci">virtual void add(idx_t n, const float *x)=0</div></div>
<div class="ttc" id="structfaiss_1_1NormalizationTransform_html_a58cc73dea14c1591a8812291d3d85bc0"><div class="ttname"><a href="structfaiss_1_1NormalizationTransform.html#a58cc73dea14c1591a8812291d3d85bc0">faiss::NormalizationTransform::reverse_transform</a></div><div class="ttdeci">void reverse_transform(idx_t n, const float *xt, float *x) const override</div><div class="ttdoc">Identity transform since norm is not revertible. </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l00776">VectorTransform.cpp:776</a></div></div>
<div class="ttc" id="structfaiss_1_1LinearTransform_html"><div class="ttname"><a href="structfaiss_1_1LinearTransform.html">faiss::LinearTransform</a></div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8h_source.html#l00077">VectorTransform.h:77</a></div></div>
<div class="ttc" id="structfaiss_1_1OPQMatrix_html_a1e314577db0c6cd4a709503f73eb71e2"><div class="ttname"><a href="structfaiss_1_1OPQMatrix.html#a1e314577db0c6cd4a709503f73eb71e2">faiss::OPQMatrix::train</a></div><div class="ttdeci">void train(Index::idx_t n, const float *x) override</div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l00589">VectorTransform.cpp:589</a></div></div>
<div class="ttc" id="structfaiss_1_1PCAMatrix_html_ac9a4c97b5861081dfd8ca5881bb1a677"><div class="ttname"><a href="structfaiss_1_1PCAMatrix.html#ac9a4c97b5861081dfd8ca5881bb1a677">faiss::PCAMatrix::balanced_bins</a></div><div class="ttdeci">int balanced_bins</div><div class="ttdoc">try to distribute output eigenvectors in this many bins </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8h_source.html#l00149">VectorTransform.h:149</a></div></div>
<div class="ttc" id="structfaiss_1_1VectorTransform_html_ab511f1ddf608c00204555881ca28cb02"><div class="ttname"><a href="structfaiss_1_1VectorTransform.html#ab511f1ddf608c00204555881ca28cb02">faiss::VectorTransform::is_trained</a></div><div class="ttdeci">bool is_trained</div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8h_source.html#l00042">VectorTransform.h:42</a></div></div>
<div class="ttc" id="structfaiss_1_1Index_html_a040c6aed1f224f3ea7bf58eebc0c31a4"><div class="ttname"><a href="structfaiss_1_1Index.html#a040c6aed1f224f3ea7bf58eebc0c31a4">faiss::Index::idx_t</a></div><div class="ttdeci">long idx_t</div><div class="ttdoc">all indices are this type </div><div class="ttdef"><b>Definition:</b> <a href="Index_8h_source.html#l00062">Index.h:62</a></div></div>
<div class="ttc" id="structfaiss_1_1IndexPreTransform_html_a370dd6ef091393401fa9b60e3d1d25b2"><div class="ttname"><a href="structfaiss_1_1IndexPreTransform.html#a370dd6ef091393401fa9b60e3d1d25b2">faiss::IndexPreTransform::reconstruct_n</a></div><div class="ttdeci">void reconstruct_n(idx_t i0, idx_t ni, float *recons) const override</div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l00975">VectorTransform.cpp:975</a></div></div>
<div class="ttc" id="structfaiss_1_1Index_html_a6970683faa021b7a6f1a0865c0d4eccd"><div class="ttname"><a href="structfaiss_1_1Index.html#a6970683faa021b7a6f1a0865c0d4eccd">faiss::Index::ntotal</a></div><div class="ttdeci">idx_t ntotal</div><div class="ttdoc">total nb of indexed vectors </div><div class="ttdef"><b>Definition:</b> <a href="Index_8h_source.html#l00065">Index.h:65</a></div></div>
<div class="ttc" id="structfaiss_1_1NormalizationTransform_html_a80c94dc7d17c9a7a9edc627150401571"><div class="ttname"><a href="structfaiss_1_1NormalizationTransform.html#a80c94dc7d17c9a7a9edc627150401571">faiss::NormalizationTransform::apply_noalloc</a></div><div class="ttdeci">void apply_noalloc(idx_t n, const float *x, float *xt) const override</div><div class="ttdoc">same as apply, but result is pre-allocated </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l00766">VectorTransform.cpp:766</a></div></div>
<div class="ttc" id="structfaiss_1_1ProductQuantizer_html_a3a41c6286095e731be744548d9535a35a4960d143d2aa49cf92028cf3470c47a0"><div class="ttname"><a href="structfaiss_1_1ProductQuantizer.html#a3a41c6286095e731be744548d9535a35a4960d143d2aa49cf92028cf3470c47a0">faiss::ProductQuantizer::Train_hot_start</a></div><div class="ttdoc">the centroids are already initialized </div><div class="ttdef"><b>Definition:</b> <a href="ProductQuantizer_8h_source.html#l00042">ProductQuantizer.h:42</a></div></div>
<div class="ttc" id="namespacefaiss_html_af2a71f7d5402ae02ce169a4cc83020eb"><div class="ttname"><a href="namespacefaiss.html#af2a71f7d5402ae02ce169a4cc83020eb">faiss::getmillisecs</a></div><div class="ttdeci">double getmillisecs()</div><div class="ttdoc">ms elapsed since some arbitrary epoch </div><div class="ttdef"><b>Definition:</b> <a href="utils_8cpp_source.html#l00074">utils.cpp:74</a></div></div>
<div class="ttc" id="structfaiss_1_1Index_html_af8bf7bd97aeed8ad5fc48b242379a68a"><div class="ttname"><a href="structfaiss_1_1Index.html#af8bf7bd97aeed8ad5fc48b242379a68a">faiss::Index::remove_ids</a></div><div class="ttdeci">virtual long remove_ids(const IDSelector &amp;sel)</div><div class="ttdef"><b>Definition:</b> <a href="Index_8cpp_source.html#l00048">Index.cpp:48</a></div></div>
<div class="ttc" id="structfaiss_1_1Index_html_aced51b1ebc33c47ab3ae15ea906559a7"><div class="ttname"><a href="structfaiss_1_1Index.html#aced51b1ebc33c47ab3ae15ea906559a7">faiss::Index::search</a></div><div class="ttdeci">virtual void search(idx_t n, const float *x, idx_t k, float *distances, idx_t *labels) const =0</div></div>
<div class="ttc" id="structfaiss_1_1VectorTransform_html"><div class="ttname"><a href="structfaiss_1_1VectorTransform.html">faiss::VectorTransform</a></div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8h_source.html#l00028">VectorTransform.h:28</a></div></div>
<div class="ttc" id="namespacefaiss_html_afb68fe89ad5e948974da1b70d7b4157c"><div class="ttname"><a href="namespacefaiss.html#afb68fe89ad5e948974da1b70d7b4157c">faiss::matrix_qr</a></div><div class="ttdeci">void matrix_qr(int m, int n, float *a)</div><div class="ttdef"><b>Definition:</b> <a href="utils_8cpp_source.html#l01322">utils.cpp:1322</a></div></div>
<div class="ttc" id="structfaiss_1_1IndexPreTransform_html_ae5ec3f184eb211e7d6e204082b52c8c0"><div class="ttname"><a href="structfaiss_1_1IndexPreTransform.html#ae5ec3f184eb211e7d6e204082b52c8c0">faiss::IndexPreTransform::own_fields</a></div><div class="ttdeci">bool own_fields</div><div class="ttdoc">! the sub-index </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8h_source.html#l00256">VectorTransform.h:256</a></div></div>
<div class="ttc" id="structfaiss_1_1OPQMatrix_html_a6406e97b05c831cc19b9343be3b43a1f"><div class="ttname"><a href="structfaiss_1_1OPQMatrix.html#a6406e97b05c831cc19b9343be3b43a1f">faiss::OPQMatrix::niter_pq_0</a></div><div class="ttdeci">int niter_pq_0</div><div class="ttdoc">same, for the first outer iteration </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8h_source.html#l00192">VectorTransform.h:192</a></div></div>
<div class="ttc" id="structfaiss_1_1ProductQuantizer_html_af265acf5aa1bcda60898002287e6a3d6"><div class="ttname"><a href="structfaiss_1_1ProductQuantizer.html#af265acf5aa1bcda60898002287e6a3d6">faiss::ProductQuantizer::cp</a></div><div class="ttdeci">ClusteringParameters cp</div><div class="ttdoc">parameters used during clustering </div><div class="ttdef"><b>Definition:</b> <a href="ProductQuantizer_8h_source.html#l00049">ProductQuantizer.h:49</a></div></div>
<div class="ttc" id="namespacefaiss_html_a4369329c9dbdfe23e3f35d09ba7b5c6e"><div class="ttname"><a href="namespacefaiss.html#a4369329c9dbdfe23e3f35d09ba7b5c6e">faiss::ivec_checksum</a></div><div class="ttdeci">size_t ivec_checksum(size_t n, const int *a)</div><div class="ttdoc">compute a checksum on a table. </div><div class="ttdef"><b>Definition:</b> <a href="utils_8cpp_source.html#l01672">utils.cpp:1672</a></div></div>
<div class="ttc" id="structfaiss_1_1VectorTransform_html_a7350d4dd28d60866d55ba4f75d2da84c"><div class="ttname"><a href="structfaiss_1_1VectorTransform.html#a7350d4dd28d60866d55ba4f75d2da84c">faiss::VectorTransform::train</a></div><div class="ttdeci">virtual void train(idx_t n, const float *x)</div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l00080">VectorTransform.cpp:80</a></div></div>
<div class="ttc" id="structfaiss_1_1VectorTransform_html_a101ce54f1c60df19478801aa942470d9"><div class="ttname"><a href="structfaiss_1_1VectorTransform.html#a101ce54f1c60df19478801aa942470d9">faiss::VectorTransform::reverse_transform</a></div><div class="ttdeci">virtual void reverse_transform(idx_t n, const float *xt, float *x) const </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l00085">VectorTransform.cpp:85</a></div></div>
<div class="ttc" id="structfaiss_1_1IndexPreTransform_html_a97ceaf3f87d3d729846762295351e972"><div class="ttname"><a href="structfaiss_1_1IndexPreTransform.html#a97ceaf3f87d3d729846762295351e972">faiss::IndexPreTransform::search_and_reconstruct</a></div><div class="ttdeci">void search_and_reconstruct(idx_t n, const float *x, idx_t k, float *distances, idx_t *labels, float *recons) const override</div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l00987">VectorTransform.cpp:987</a></div></div>
<div class="ttc" id="structfaiss_1_1RemapDimensionsTransform_html_a2fc83e79e4d3c7853bfd6931cbbaf82a"><div class="ttname"><a href="structfaiss_1_1RemapDimensionsTransform.html#a2fc83e79e4d3c7853bfd6931cbbaf82a">faiss::RemapDimensionsTransform::reverse_transform</a></div><div class="ttdeci">void reverse_transform(idx_t n, const float *xt, float *x) const override</div><div class="ttdoc">reverse transform correct only when the mapping is a permuation </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l01055">VectorTransform.cpp:1055</a></div></div>
<div class="ttc" id="structfaiss_1_1OPQMatrix_html_afdd5b2c74d19ccc5c7a6e0199333321a"><div class="ttname"><a href="structfaiss_1_1OPQMatrix.html#afdd5b2c74d19ccc5c7a6e0199333321a">faiss::OPQMatrix::max_train_points</a></div><div class="ttdeci">size_t max_train_points</div><div class="ttdoc">if there are too many training points, resample </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8h_source.html#l00195">VectorTransform.h:195</a></div></div>
<div class="ttc" id="structfaiss_1_1PCAMatrix_html_ae586dc89db6c57753c687473417742a6"><div class="ttname"><a href="structfaiss_1_1PCAMatrix.html#ae586dc89db6c57753c687473417742a6">faiss::PCAMatrix::copy_from</a></div><div class="ttdeci">void copy_from(const PCAMatrix &amp;other)</div><div class="ttdoc">copy pre-trained PCA matrix </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l00458">VectorTransform.cpp:458</a></div></div>
<div class="ttc" id="structfaiss_1_1VectorTransform_html_a589d612f7b1773614619a0cbecd728a9"><div class="ttname"><a href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">faiss::VectorTransform::d_out</a></div><div class="ttdeci">int d_out</div><div class="ttdoc">! input dimension </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8h_source.html#l00033">VectorTransform.h:33</a></div></div>
<div class="ttc" id="structfaiss_1_1OPQMatrix_html_a6eb9d18ff15b1c598d3aa3bc9ab84519"><div class="ttname"><a href="structfaiss_1_1OPQMatrix.html#a6eb9d18ff15b1c598d3aa3bc9ab84519">faiss::OPQMatrix::OPQMatrix</a></div><div class="ttdeci">OPQMatrix(int d=0, int M=1, int d2=-1)</div><div class="ttdoc">if d2 != -1, output vectors of this dimension </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l00574">VectorTransform.cpp:574</a></div></div>
<div class="ttc" id="structfaiss_1_1Index_html"><div class="ttname"><a href="structfaiss_1_1Index.html">faiss::Index</a></div><div class="ttdef"><b>Definition:</b> <a href="Index_8h_source.html#l00060">Index.h:60</a></div></div>
<div class="ttc" id="structfaiss_1_1PCAMatrix_html_a117a70b8fca6d125725fe49fddebf97b"><div class="ttname"><a href="structfaiss_1_1PCAMatrix.html#a117a70b8fca6d125725fe49fddebf97b">faiss::PCAMatrix::prepare_Ab</a></div><div class="ttdeci">void prepare_Ab()</div><div class="ttdoc">called after mean, PCAMat and eigenvalues are computed </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l00468">VectorTransform.cpp:468</a></div></div>
<div class="ttc" id="structfaiss_1_1IndexPreTransform_html_a03c77c582a3421952e2cba2057083059"><div class="ttname"><a href="structfaiss_1_1IndexPreTransform.html#a03c77c582a3421952e2cba2057083059">faiss::IndexPreTransform::add</a></div><div class="ttdeci">void add(idx_t n, const float *x) override</div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l00919">VectorTransform.cpp:919</a></div></div>
<div class="ttc" id="structfaiss_1_1RemapDimensionsTransform_html_a550be3d40c221d2134bf06a13dd33c4d"><div class="ttname"><a href="structfaiss_1_1RemapDimensionsTransform.html#a550be3d40c221d2134bf06a13dd33c4d">faiss::RemapDimensionsTransform::apply_noalloc</a></div><div class="ttdeci">void apply_noalloc(idx_t n, const float *x, float *xt) const override</div><div class="ttdoc">same as apply, but result is pre-allocated </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l01043">VectorTransform.cpp:1043</a></div></div>
<div class="ttc" id="structfaiss_1_1ProductQuantizer_html"><div class="ttname"><a href="structfaiss_1_1ProductQuantizer.html">faiss::ProductQuantizer</a></div><div class="ttdef"><b>Definition:</b> <a href="ProductQuantizer_8h_source.html#l00025">ProductQuantizer.h:25</a></div></div>
<div class="ttc" id="structfaiss_1_1Index_html_a6e92732617c4dbe364e7678dd8773a7f"><div class="ttname"><a href="structfaiss_1_1Index.html#a6e92732617c4dbe364e7678dd8773a7f">faiss::Index::is_trained</a></div><div class="ttdeci">bool is_trained</div><div class="ttdoc">set if the Index does not require training, or if training is done already </div><div class="ttdef"><b>Definition:</b> <a href="Index_8h_source.html#l00069">Index.h:69</a></div></div>
<div class="ttc" id="structfaiss_1_1IndexPreTransform_html_aaa4851311641da569d02f8adbe1f04f0"><div class="ttname"><a href="structfaiss_1_1IndexPreTransform.html#aaa4851311641da569d02f8adbe1f04f0">faiss::IndexPreTransform::reverse_chain</a></div><div class="ttdeci">void reverse_chain(idx_t n, const float *xt, float *x) const </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l00905">VectorTransform.cpp:905</a></div></div>
<div class="ttc" id="structfaiss_1_1LinearTransform_html_a8a67a0178eab513cf87545f5d12d9569"><div class="ttname"><a href="structfaiss_1_1LinearTransform.html#a8a67a0178eab513cf87545f5d12d9569">faiss::LinearTransform::is_orthonormal</a></div><div class="ttdeci">bool is_orthonormal</div><div class="ttdoc">! whether to use the bias term </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8h_source.html#l00082">VectorTransform.h:82</a></div></div>
<div class="ttc" id="structfaiss_1_1PCAMatrix_html_ae80e130c0667b66cea608c4926d7d561"><div class="ttname"><a href="structfaiss_1_1PCAMatrix.html#ae80e130c0667b66cea608c4926d7d561">faiss::PCAMatrix::eigenvalues</a></div><div class="ttdeci">std::vector&lt; float &gt; eigenvalues</div><div class="ttdoc">eigenvalues of covariance matrix (= squared singular values) </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8h_source.html#l00155">VectorTransform.h:155</a></div></div>
<div class="ttc" id="structfaiss_1_1IndexPreTransform_html_a7c2c820895d87083742969c281ae4911"><div class="ttname"><a href="structfaiss_1_1IndexPreTransform.html#a7c2c820895d87083742969c281ae4911">faiss::IndexPreTransform::search</a></div><div class="ttdeci">void search(idx_t n, const float *x, idx_t k, float *distances, idx_t *labels) const override</div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l00941">VectorTransform.cpp:941</a></div></div>
<div class="ttc" id="structfaiss_1_1Index_html_aaef6f4132b1f390121ebb11058baf190"><div class="ttname"><a href="structfaiss_1_1Index.html#aaef6f4132b1f390121ebb11058baf190">faiss::Index::reconstruct</a></div><div class="ttdeci">virtual void reconstruct(idx_t key, float *recons) const </div><div class="ttdef"><b>Definition:</b> <a href="Index_8cpp_source.html#l00054">Index.cpp:54</a></div></div>
<div class="ttc" id="structfaiss_1_1IndexPreTransform_html_a07fef0553b2ef2907f394470f61898b2"><div class="ttname"><a href="structfaiss_1_1IndexPreTransform.html#a07fef0553b2ef2907f394470f61898b2">faiss::IndexPreTransform::add_with_ids</a></div><div class="ttdeci">void add_with_ids(idx_t n, const float *x, const long *xids) override</div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l00928">VectorTransform.cpp:928</a></div></div>
<div class="ttc" id="structfaiss_1_1PCAMatrix_html_af111f055b7571703a3aa270d89e99321"><div class="ttname"><a href="structfaiss_1_1PCAMatrix.html#af111f055b7571703a3aa270d89e99321">faiss::PCAMatrix::random_rotation</a></div><div class="ttdeci">bool random_rotation</div><div class="ttdoc">random rotation after PCA </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8h_source.html#l00143">VectorTransform.h:143</a></div></div>
<div class="ttc" id="structfaiss_1_1PCAMatrix_html_abdce90f57a3c4401f5230f03da901e0d"><div class="ttname"><a href="structfaiss_1_1PCAMatrix.html#abdce90f57a3c4401f5230f03da901e0d">faiss::PCAMatrix::max_points_per_d</a></div><div class="ttdeci">size_t max_points_per_d</div><div class="ttdoc">ratio between # training vectors and dimension </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8h_source.html#l00146">VectorTransform.h:146</a></div></div>
<div class="ttc" id="structfaiss_1_1ClusteringParameters_html_a993e0a035248faad6e292a5ef9af1953"><div class="ttname"><a href="structfaiss_1_1ClusteringParameters.html#a993e0a035248faad6e292a5ef9af1953">faiss::ClusteringParameters::max_points_per_centroid</a></div><div class="ttdeci">int max_points_per_centroid</div><div class="ttdoc">to limit size of dataset </div><div class="ttdef"><b>Definition:</b> <a href="Clustering_8h_source.html#l00034">Clustering.h:34</a></div></div>
<div class="ttc" id="structfaiss_1_1VectorTransform_html_af3b3a8bf95911f4b28128001c83f91a5"><div class="ttname"><a href="structfaiss_1_1VectorTransform.html#af3b3a8bf95911f4b28128001c83f91a5">faiss::VectorTransform::apply</a></div><div class="ttdeci">float * apply(idx_t n, const float *x) const </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l00072">VectorTransform.cpp:72</a></div></div>
<div class="ttc" id="structfaiss_1_1IndexPreTransform_html_ad4e59f4dacc1d8183a788510680f0df5"><div class="ttname"><a href="structfaiss_1_1IndexPreTransform.html#ad4e59f4dacc1d8183a788510680f0df5">faiss::IndexPreTransform::remove_ids</a></div><div class="ttdeci">long remove_ids(const IDSelector &amp;sel) override</div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l00956">VectorTransform.cpp:956</a></div></div>
<div class="ttc" id="structfaiss_1_1VectorTransform_html_a90f1a218c224c049f1bd8b77a78d6aa0"><div class="ttname"><a href="structfaiss_1_1VectorTransform.html#a90f1a218c224c049f1bd8b77a78d6aa0">faiss::VectorTransform::apply_noalloc</a></div><div class="ttdeci">virtual void apply_noalloc(idx_t n, const float *x, float *xt) const =0</div><div class="ttdoc">same as apply, but result is pre-allocated </div></div>
<div class="ttc" id="structfaiss_1_1IndexPreTransform_html_a02493fc85f4a47dce4ad7acd105320bf"><div class="ttname"><a href="structfaiss_1_1IndexPreTransform.html#a02493fc85f4a47dce4ad7acd105320bf">faiss::IndexPreTransform::reconstruct</a></div><div class="ttdeci">void reconstruct(idx_t key, float *recons) const override</div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l00963">VectorTransform.cpp:963</a></div></div>
<div class="ttc" id="structfaiss_1_1OPQMatrix_html_a07ad0c0c84f96a6880c1c8eaf09596e3"><div class="ttname"><a href="structfaiss_1_1OPQMatrix.html#a07ad0c0c84f96a6880c1c8eaf09596e3">faiss::OPQMatrix::M</a></div><div class="ttdeci">int M</div><div class="ttdoc">nb of subquantizers </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8h_source.html#l00189">VectorTransform.h:189</a></div></div>
<div class="ttc" id="structfaiss_1_1LinearTransform_html_af9c20b4ae67691b5713489884ca9f80f"><div class="ttname"><a href="structfaiss_1_1LinearTransform.html#af9c20b4ae67691b5713489884ca9f80f">faiss::LinearTransform::apply_noalloc</a></div><div class="ttdeci">void apply_noalloc(idx_t n, const float *x, float *xt) const override</div><div class="ttdoc">same as apply, but result is pre-allocated </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l00106">VectorTransform.cpp:106</a></div></div>
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